Publications

1  Contributions in Books

        In Press

1. W. Hereman, P. J. Adams, H. L. Eklund, M. S. Hickman, and B. M. Herbst, Direct Methods and Symbolic Software for Conservation Laws of Nonlinear Equations , In: Advances in Nonlinear Waves and Symbolic Computation, Ed.: Z. Yan, Nova Science Publishers, New York (2008), 60 pages.
2. W. Hereman, Shallow Water Waves and Solitary Waves. In: Encyclopedia of Complexity and Systems Science, Ed.: R. A. Meyers, Springer Verlag, Heibelberg, Germany (2008), 27 pages.

       Published

1. W. Hereman, M. Colagrosso, R. Sayers, A. Ringler, B. Deconinck, M. Nivala, and M. S. Hickman, Continuous and Discrete Homotopy Operators with Applications in Integrability Testing. In: Differential Equations with Symbolic Computation, Trends in Mathematics, Chapter 15, Eds.: D. Wang and Z. Zheng, Birkhäuser Verlag, Basel (2005), pp. 249-285.
2. W. Hereman, Painlevé Theory. In: Computer Algebra Handbook: Foundations, Applications, Systems. Eds.: J. Grabmeier, E. Kaltofen, and V. Weispfenning, Springer Verlag, Berlin (2002), Chapter 2 (Symbolic Methods for Differential Equations) Section 2.11, pp. 96-109.
3. W. Hereman and Ü. Göktas, Integrability Tests for Nonlinear Evolution Equations. In: Computer Algebra Systems: A Practical Guide, Chapter 12, Ed.: M. Wester, Wiley and Sons, New York (1999), pp. 211-232.
4. W. Hereman, Lie symmetry analysis with symbolic software, In: Encyclopedia of Mathematics, Supplement Volume I, Ed.: M. Hazewinkel, Kluwer Academic Publishers, Dordrecht, The Netherlands, pp. 351-355 (1998).
5. W. Hereman, Symbolic Software for Lie Symmetry Analysis. In: CRC Handbook of Lie Group Analysis of Differential Equations, Volume 3: New Trends in Theoretical Developments and Computational Methods, Chapter 13, Ed.: N.H. Ibragimov, CRC Press, Boca Raton, Florida (1996) pp. 367-413.

2  Featured Book Reviews

1. W. Hereman, Featured Review: The Mathematica GuideBook for Numerics and the Mathematica GuideBook for Symbolics By Michael Trott, Springer-Verlag, New York, 2006, SIAM Review 49(1), pp. 123-129 (2007).
2. W. Hereman, Featured Review: The Mathematica GuideBook for Programming and the Mathematica GuideBook for Graphics By Michael Trott, Springer-Verlag, New York, 2004, SIAM Review 47(4), pp. 801-806 (2006).

3  In Refereed Journals

        In Preparation

1. D. Baldwin and W. Hereman, An algorithm and symbolic software for the computation of recursion operators of nonlinear ordinary and partial differential equations, Physica D (2007).

       Published

1. M. Grundland, W. Hereman, and I. Yurdusen, Conformally parametrized surfaces associated with CPN sigma models, Journal of Physics A: Mathematical and Theoretical 41, Article No. 065204, 28 pages (2008).
2. W. Hereman, B. Deconinck and L. D. Poole, Continuous and discrete homotopy operators: A theoretical approach made concrete, Mathematics and Computers in Simulation 74 (4-5) pp. 352-360 (2007).
3. D. Baldwin and W. Hereman, Symbolic software for the Painlevé test of nonlinear differential equations, Journal of Nonlinear Mathematical Physics 13 (1) pp. 90-110 (2006).
4. W. Hereman, Symbolic computation of conservation laws of nonlinear partial differential equations in multi-dimensions, International Journal of Quantum Chemistry 106 (1) pp. 278-299 (2006).
5. D. Baldwin, Ü. Göktas, W. Hereman, Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations, Computer Physics Communications, vol. 162 (3), pp. 203-217 (2004).
6. D. Baldwin, Ü. Göktas, W. Hereman, L. Hong, R.S. Martino, and J.C. Miller, Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs, Journal of Symbolic Computation, vol. 37 (6), pp. 669-705 (2004).
7. M. Hickman and W. Hereman, Computation of Densities and Fluxes of Nonlinear Differential-Difference Equations, Proceedings Royal Society of London A, vol. 459 (2039), pp. 2705-2729 (2003).
8. J. DeSanto, G. Erdmann, W. Hereman, and M. Misra, Application of wavelet transforms to the integral equations for rough surface scattering, IEEE Antennas and Propagation Magazine, vol. 43(6), pp. 55-62 (2001).
9. J. DeSanto, G. Erdmann, W. Hereman, B. Krause, M. Misra, and E. Swim, Theoretical and computational aspects of scattering from rough surfaces: Two-dimensional transmission surfaces using the spectral-coordinate method Waves in Random Media, vol. 11 (4), pp. 489-526 (2001).
10. J. DeSanto, G. Erdmann, W. Hereman, B. Krause, M. Misra, and E. Swim, Theoretical and computational aspects of scattering from rough surfaces: Two-dimensional perfectly reflecting surfaces using the spectral-coordinate method Waves in Random Media, vol. 11 (4), pp. 455-487 (2001).
11. J. DeSanto, G. Erdmann, W. Hereman, and M. Misra, Theoretical and computational aspects of scattering from rough surfaces: One-dimensional transmission interface , Waves in Random Media, vol. 11 (4), pp. 425-453 (2001).
12. F. Verheest, W. Hereman, and W. Malfliet, Comments on ``A new mathematical approach for finding the solitary waves in dusty plasma", Physics of Plasmas, vol. 6 (11) pp. 4392-4394 (1999).
13. Ü. Göktas and W. Hereman, Algorithmic computation of higher-order symmetries for nonlinear evolution and lattice equations, Advances in Computational Mathematics, vol. 11 (1), pp. 55-80 (1999).
14. L. Monzón, G Beylkin, and W. Hereman, Compactly supported wavelets based on almost interpolating and nearly linear phase filters (Coiflets), Applied and Computational Harmonic Analysis, vol. 7 (2), pp. 184-210 (1999).
15. W. Hereman, Ü. Göktas, M. Colagrosso, and A. Miller, Algorithmic integrability tests for nonlinear differential and lattice equations, Computer Physics Communications, vol. 115 (2-3), pp. 428-446 (1998).
16. Ü. Göktas and W. Hereman, Computation of conserved densities for nonlinear lattices, Physica D, vol. 123 (1-4), pp. 425-436 (1998).
17. J. DeSanto, G. Erdmann, W. Hereman, and M. Misra, Theoretical and Computational Aspects of Scattering from Rough Surfaces: One-dimensional Perfectly Reflecting Surfaces, Waves in Random Media, vol. 8 (4), pp. 385-414 (1998).
18. W. Navidi, W. Murphy, Jr., and W. Hereman, Statistical methods in surveying by trilateration, Computational Statistics and Data Analysis, vol. 27 (2), pp. 209-227 (1998).
19. Ü. Göktas and W. Hereman, Symbolic computation of conserved densities for systems of nonlinear evolution equations, Journal of Symbolic Computation, vol. 24 (5), pp. 591-621 (1997).
20. Ü. Göktas, W. Hereman, and G. Erdmann, Computation of conserved densities for systems of nonlinear differential-difference equations, Physics Letters A, vol. 236 (1-2), pp. 30-38 (1997).
21. W. Hereman, Review of symbolic software for Lie symmetry analysis, Mathematical and Computer Modelling, vol. 25 (8-9), pp. 115-132 (1997).
22. W. Hereman and A. Nuseir, Symbolic methods to construct exact solutions of nonlinear partial differential equations, Mathematics and Computers in Simulation, vol. 43 (1), pp. 13-27 (1997).
23. W. Malfliet and W. Hereman, The tanh method: II. Perturbation technique for conservative systems, Physica Scripta, vol. 54, pp. 569-575 (1996).
24. W. Malfliet and W. Hereman, The tanh method: I. Exact solutions of nonlinear evolution and wave equations, Physica Scripta, vol. 54, pp. 563-568 (1996).
25. W. Hereman, Computer algebra: lightening the load, Physics World, vol. 9 (3), pp. 47-52, March 1996.
26. R. Willox, W. Hereman and F. Verheest, Complete integrability of a modified vector derivative nonlinear Schrödinger equation, Physica Scripta, vol. 52, pp. 21-26 (1995).
27. W. Hereman and W. Zhuang, Symbolic software for soliton theory, Acta Applicandae Mathematicae, vol. 39, pp. 361-378 (1995).
28. W. Hereman, Visual data analysis: maths made easy, Physics World, vol. 8 (4), pp. 49-53, April 1995.
29. F. Verheest and W. Hereman, Conservation laws and solitary wave solutions for generalized Schamel equations, Physica Scripta, vol. 50, pp. 611-614 (1994).
30. W. Hereman, Review of symbolic software for the computation of Lie symmetries of differential equations, Euromath Bulletin, vol. 1 (2), pp. 45-82 (1994).
31. W. Hereman, L. Marchildon and M. Grundland, Lie point symmetries of classical field theories, Anales de Física. Monografías, Group Theoretical Methods in Physics, vol. 1, pp. 402-405 (1993).
32. W. Hereman, W.-H. Steeb and N. Euler, Comment on: Towards the conservation laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimensions", Journal of Physics A: Mathematical and General, vol. 25 (8), pp. 2417-2418 (1992).
33. W.-H. Steeb, N. Euler and W. Hereman, A note on the Zakharov equation and Lie symmetry vector fields, Nuovo Cimento B (Note Brevi), vol. 107, pp. 1211-1213 (1992).
34. R.A. Mertens, W. Hereman and J.-P. Ottoy, Approximate and numerical methods in Acousto-optics : Part 2. Oblique incidence of the light - Bragg Reflection, Academiae Analecta, Mededelingen van de Koninklijke Academie voor Wetenschappen van België, vol. 53, pp. 27-59 (1991).
35. B. Champagne, W. Hereman and P. Winternitz, The computer calculation of Lie point symmetries of large systems of differential equations, Computer Physics Communications, vol. 66 (2-3), pp. 319-340 (1991).
36. W. Hereman, Exact solitary wave solutions of coupled nonlinear evolution equations using Macsyma, Computer Physics Communications, vol. 65 (1-3), pp. 143-150 (1991).
37. W. Hereman and M. Takaoka, Solitary wave solutions of nonlinear evolution and wave equations using Macsyma, Journal of Physics A: Mathematical and General, vol. 23 (21), pp. 4805-4822 (1990).
38. R.A. Mertens, W. Hereman and J.-P. Ottoy, The Raman-Nath equations revisited. II. Oblique incidence of the light - Bragg reflection, Selected Papers on Acousto-optics, Ed.: A. Korpel, SPIE Milestone Series, SPIE Optical Engineering Press, Bellingham, Washington, vol. MS 16, pp. 444-448 (1990).
39. F. Verheest, W. Hereman, and H. Serras, Possible chaotic pulsations in ZZ Ceti and rapidly oscillating Ap stars due to nonlinear harmonic mode coupling, Monthly Notices of the Royal Astronomical Society, vol. 245, pp. 392-396 (1990).
40. P.P. Banerjee, F. Daoud and W. Hereman, A straightforward method for finding implicit solitary wave solutions of nonlinear evolution and wave equations, Journal of Physics A: Mathematical and General, vol. 23 (4), pp. 521-536 (1990).
41. W. Hereman and S. Angenent, The Painlevé test for nonlinear ordinary and partial differential equations, MACSYMA Newsletter, vol. 6, pp. 11-8 (1989).
42. W. Hereman, P.P. Banerjee and M. Chatterjee, Derivation and implicit solution of the Harry Dym equation, and its connections with the Korteweg-de Vries equation, Journal of Physics A: Mathematical and General, vol. 22 (3), pp. 241-255 (1989).
43. R.A. Mertens, W. Hereman and J.-P. Ottoy, Approximate and numerical methods in Acousto-optics : Part 1. Normal incidence of the light, Academiae Analecta (Mededelingen van de Koninklijke Academie voor Wetenschappen van België), vol. 50 (1), pp. 9-50 (1988).
44. R. Pieper, A. Korpel and W. Hereman, Extension of the Acousto-optic Bragg regime through Hamming apodization of the sound field, Journal of the Optical Society of America A: Optics and Image Science, vol. 3 (10), pp. 1608-1619 (1986).
45. W. Hereman, P.P. Banerjee, A. Korpel, G. Assanto, A. Van Immerzeele and A. Meerpoel, Exact solitary wave solutions of non-linear evolution and wave equations using a direct algebraic method, Journal of Physics A: Mathematical and General, vol. 19 (5), pp. 607-628 (1986).
46. W. Hereman, Contribution to the theoretical study of the diffraction of ordinary and laser light by an ultrasonic wave in a liquid, Academiae Analecta (Mededelingen van de Koninklijke Academie voor Wetenschappen, Letteren en Schone Kunsten van België. Klasse der Wetenschappen), vol. 48, pp. 23-52 (1986).
47. W. Hereman, A. Korpel and P.P. Banerjee, A general physical approach to solitary wave construction from linear solutions, Wave Motion, vol. 7 (3), pp. 283-290 (1985).
48. W. Hereman, R.A. Mertens, F. Verheest, O. Leroy, J.M. Claeys and E. Blomme, Interaction of light and ultrasound: Acousto-optics, Physicalia Magazine, vol. 6, pp. 213-245 (1984).
49. F. Verheest and W. Hereman, Nonlinear mode decoupling for classes of evolution equations, Journal of Physics A: Mathematical and General, vol. 15 (1), pp. 95-102 (1982).
50. W. Hereman, F. Verheest and R.A. Mertens, Acousto-optic diffraction of intense laser light in a liquid, Acustica, vol. 48, pp. 1-9 (1981).
51. W. Hereman, Diffraction of light by an amplitude-modulated ultrasonic wave at normal and oblique incidence of the light, Simon Stevin, vol. 54, pp. 193-211 (1980).
52. F. Verheest and W. Hereman, Nonresonant mode coupling for classes of Korteweg-de Vries equations, Journal of the Physical Society of Japan, vol. 47, pp. 2007-2012 (1979).
53. W. Hereman and R.A. Mertens, On the diffraction of light by an amplitude-modulated ultrasonic wave, Wave Motion, vol. 1 (4), pp. 287-298 (1979).

4  In Refereed Conference Proceedings

1. W. Hereman and W. Malfliet, The Tanh Method: A Tool to Solve Nonlinear Partial Differential Equations with Symbolic Software, 9th World Multiconference on Systemics, Cybernetics, and Informatics (WMSCI 2005), Orlando, Florida, July 10-13 (2005), pp. 165-168.
2. W. Hereman, J.A. Sanders, J. Sayers, and J.P. Wang, Symbolic Computation of Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations, In: Group Theory and Numerical Analysis, CRM Proceedings and Lecture Series 39, Eds.: P. Winternitz, D. Gomez-Ullate, A. Iserles, D. Levi, P. J. Olver, R. Quispel, and P. Tempesta, American Mathematical Society, Providence, Rhode Island (2005), pp. 267-282.
3. D. Baldwin, W. Hereman, and J. Sayers, Symbolic algorithms for the Painlevé test, special solutions, and recursion operators for nonlinear PDEs, In: Group Theory and Numerical Analysis, CRM Proceedings and Lecture Series 39, Eds.: P. Winternitz, D. Gomez-Ullate, A. Iserles, D. Levi, P. J. Olver, R. Quispel, and P. Tempesta, American Mathematical Society, Providence, Rhode Island (2005), pp. 17-32.
4. M. Hickman and W. Hereman, Computation of Densities and Fluxes of Nonlinear Differential-Difference Equations, Proc. Sixth Asian Symposium on Computer Mathematics, Beijing China, April 17-19, 2003, Eds. Z. Li and W. Sit, World Scientific Publishing, Singapore, pp. 163-173 (2003).
5. Ü. Göktas and W. Hereman, Invariants and symmetries for partial differential equations and lattices, Proc. Fourth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Ed.: J. A. DeSanto, Colorado School of Mines, Golden, Colorado, June 1-5, 1998, SIAM, Philadelphia, pp. 403-407 (1998).
6. W. Hereman and W. Zhuang, Symbolic software for soliton theory, Proceedings of Conference KdV '95, April 1995, Amsterdam, The Netherlands, Eds.: M. Hazewinkel, H.W. Capel and E.M. de Jager, Kluwer Academic Publishers, pp. 361-378 (1995).
7. W. Hereman, SYMMGRP.MAX and other symbolic program for symmetry analysis of partial differential equations , in: `Exploiting Symmetry in Applied and Numerical Analysis', Lectures in Applied Mathematics 29, Proceedings of the AMS-SIAM Summer Seminar, Fort Collins, July 26-August 1, 1992, Eds.: E. Allgower, K. Georg and R. Miranda, American Mathematical Society, Providence, Rhode Island, pp. 241-257 (1993).
8. W. Hereman and W. Zhuang, Symbolic computation of solitons with Macsyma, Computational and Applied Mathematics II: Differential Equations. Eds.: W.F. Ames and P.J. van der Houwen, North Holland, Amsterdam, pp. 287-296 (1992).
9. F. Verheest and W. Hereman, Chaotic pulsations in variable stars with harmonic mode coupling, Research Reports in Physics, Nonlinear Dynamics, Proceedings of the Conference on Aspects of Nonlinear Dynamics: Solitons and Chaos, Free University of Brussels, Brussels, Belgium, December 6-8, 1990, Eds.: I. Antoniou and F.J. Lambert, Springer Verlag, Berlin, pp. 166-170 (1991).
10. R.A. Mertens, W. Hereman and J.-P. Ottoy, The N-th order approximation method in acousto-optics and the condition for 'pure' Bragg reflection, Proceedings of the Symposium on Physical Acoustics: Fundamental and Applications. University of Leuven at Kortrijk, Kortrijk, Belgium, June 19-22, 1990, Eds.: O. Leroy and M.A. Breazeale, Plenum Press, New York, pp. 505-509 (1991).
11. W. Hereman and W. Zhuang, A MACSYMA program for the Hirota method, Proceedings of the 13th IMACS World Congress on Computation and Applied Mathematics, Dublin, July 22-26, 1991, Eds.: R. Vichnevetsky and J.J.H. Miller, Criterion Press, Dublin, vol. 2, pp. 842-843 (1991). Also available: W. Hereman and W. Zhuang, Symbolic Computation of Solitons via Hirota's Method, Technical Report, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, 33 pages (1994).
12. W. Hereman, Application of a Macsyma program for the Painlevé test to the Fitzhugh-Nagumo equation. In: Partially Integrable Evolution Equations in Physics, Proceedings of the Summer School for Theoretical Physics, Les Houches, France, March 21-28, 1989, Eds.: R. Conte and N. Boccara, Kluwer Academic Publishers, Dordrecht, The Netherlands, Contributed Papers, pp. 585-586 (1990).
13. W. Hereman and E. Van den Bulck, MACSYMA program for the Painlevé test of nonlinear ordinary and partial differential equations, Proceedings of the Workshop on Finite Dimensional Integrable Nonlinear Dynamical Systems, Eds.: P.G.L. Leach and W.-H. Steeb, Johannesburg, South Africa, January 11-15, 1988. World Scientific, Singapore, pp. 117-129 (1988).
14. A. Defebvre, R.A. Mertens, J.-P. Ottoy and W. Hereman, Experimental testing of truncated Raman-Nath system solutions, Proceedings Ultrasonics International '87, London, July 6-9, 1987, pp. 78-83 (1987).
15. R.A. Mertens, W. Hereman and J.-P. Ottoy, The Raman-Nath equations revisited. II. Oblique incidence of the light - Bragg reflection, Proceedings Ultrasonics International '87, London, July 6-9, 1987, pp. 84-89 (1987).
16. R.A. Mertens, J.-P. Ottoy and W. Hereman, Numerical integration of the truncated Raman-Nath system, Congress Proceedings of the 12th International Congress on Acoustics (Toronto, Canada, July 24-31, 1986), vol. 2, p. G7-1 (1986).
17. R.A. Mertens, W. Hereman and J.-P. Ottoy, The Raman-Nath equations revisited, Proceedings Ultrasonics International '85, London, July 2-5, 1985, pp. 422-428 (1985).
18. R.A. Mertens and W. Hereman, On the diffraction of light by adjacent parallel ultrasonic waves. A general theory, Proceedings Ultrasonics International '83, Halifax, Canada, July 12-14, 1983, pp. 282-288 (1983).
19. W. Hereman, Acousto-optic diffraction of intense laser light in an isotropic medium (including third harmonic generation), Proceedings of the Second Spring School on Acousto-optics and Applications, Gdansk, Poland, May 24-29, 1983, pp. 206-223 (1983).
20. R.A. Mertens and W. Hereman, Diffraction of light by ultrasonic waves in the case of oblique incidence of the light. General theory and approximations, Proceedings of the Second Spring School on Acousto-optics and Applications, Gdansk, Poland, May 24-29, 1983, pp. 9-31 (1983).
21. W. Hereman and R.A. Mertens, On the diffraction of light by ultrasonic waves in the Bragg case, Revue d'Acoustique (11th International Congress on Acoustics, Paris, July 19-27, 1983), vol. 2, pp. 287-290 (1983).
22. R.A. Mertens, W. Hereman and R. De Spiegeleere, On the exact theory of tops rising by friction, Conference GAMM, Würzburg, Germany, April 21-24, 1981, ZAMM, vol. 62, pp. T58-T60 (1982).
23. W. Hereman, F. Verheest and R.A. Mertens, On the Acousto-optics of an intense laser beam in a liquid, Proceedings Ultrasonics International '81, Brighton, United Kingdom, June 30-July 2, 1981, pp. 104-109 (1981).
24. R.A. Mertens, W. Hereman and F. Verheest, Some recent developments in the theory of diffraction of light by ultrasonic waves, Proceedings of the First Spring School on Acousto-optics and Applications, Gdansk, Poland, May 26-30, 1980, pp. 33-51 (1980).
25. F. Verheest and W. Hereman, Limitations of the description of nonlinear plasma phenomena through wave-wave interaction, Proceedings International Conference on Plasma Physics, Nagoya, Japan, April 7-11, 1980, l0P-II-01, vol. 1, p. 386 (1980).
26. R.A. Mertens and W. Hereman, Uber die Raman-Nathsche Theorie der Beugung des Lichtes an Ultraschallwellen, Fortschritte der Akustik DAGA '80, München, Germany, March 10-13, 1980, VDE-Verlag, Berlin, Germany, pp. 563-566 (1980).

5  In Unrefereed Conference Proceedings

1. W. Hereman and A. Nuseir, Symbolic methods to find exact solutions of nonlinear PDEs, Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics, Atlanta, Georgia, July 11-15, 1994, Ed.: W.F. Ames, vol. 1, IMACS, New Brunswick, pp. 222-225 (1994).
2. W. Hereman, Symbolic software for the study of nonlinear partial differential equations , in: Advances in Computer Methods for Partial Differential Equations VII, Proceedings of the 7th IMACS International Conference on Computer Methods for Partial Differential Equations, Rutgers University, New Brunswick, New Jersey, June 22-24, 1992, Eds.: R. Vichnevetsky, D. Knight and G. Richter, IMACS, New Brunswick, New Jersey, pp. 326-332 (1993).
3. W. Hereman, Solitary wave solutions of coupled nonlinear evolution equations using Macsyma, Proceedings of IMACS 1st International Conference on Computational Physics, Eds.: K. Gustafson and W. Wyss, University of Colorado, Boulder, June 11-15, 1990, pp. 150-153 (1990).
4. R.A. Mertens, W. Hereman, F. Verheest and J.-P. Ottoy, Theoretical acousto-optics: exact, approximate and numerical methods, ``Book of Abstracts", Proceedings of Workshop V on (nonlinear) stability, University of Antwerp, Antwerp, Belgium, September 11-23, 1990, Ed.: D.K. Callebaut, UIA Press, Antwerp, Belgium, pp. 45-50 (1990).
5. W. Hereman, The construction of implicit and explicit solitary wave solutions of nonlinear partial differential equations, Proceedings of the Conference on Applied Mathematics in Honor of Professor A.A. Ashour, 3-6 January, 1987, Cairo, Egypt, pp. 291-312 (1988).
6. W. Hereman, P.P. Banerjee and D. Faker, The construction of solitary wave solutions of the Korteweg-de Vries equation via Painlevé analysis, Proceedings of Workshop WASDA III: Wave and Soliton Days Antwerp, University of Antwerp, June 2-3, 1988, Eds.: D. Callebaut and W. Malfliet, UIA Press, Antwerp, Belgium, Vol II, pp. 166-191 (1988).
7. P.P. Banerjee, W. Choe, G. Cao and W. Hereman, Stationary eigenmodes and their stability during wave propagation in a medium with quadratic and cubic nonlinearities without dispersion, Proceedings of Workshop WASDA III: Wave and Soliton Days Antwerp, Antwerp, Belgium, June 2-3,1988, Eds.: D. Callebaut and W. Malfliet, UIA Press, Antwerp, Belgium, Vol II, pp. 143-165 (1988).
8. F. Verheest and W. Hereman, Wave decoupling for the Sharma-Tasso-Olver and higher-order Korteweg-de Vries equations, Proceedings of Workshop II on (nonlinear) Stability in Magneto-hydro-dynamics, University of Antwerp, Antwerp, Belgium, September 1-30, 1980, Ed.: D.K. Callebaut, UIA Press, Antwerp, Belgium, pp. 125-137 (1980).

6  Technical Reports

1. J. DeSanto, G. Erdmann, W. Hereman, B. Krause, M. Misra, and E. Swim, Theoretical and Computational Aspects of Scattering from Rough Surfaces: Two-dimensional Surfaces, Technical Report # 4, MURI Project, Report of Work in Progress, AFOSR Grant # F49620-96-1-0039, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, 183 pages (2000).
2. J. DeSanto, G. Erdmann, W. Hereman, and M. Misra, Theoretical and Computational Aspects of Scattering from Rough Surfaces: One-dimensional Transmission Interface, Technical Report # 3 MURI Project, Report of Work in Progress, AFOSR Grant # F49620-96-1-0039, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, 121 pages (2000).
3. J. DeSanto, G. Erdmann, W. Hereman, and M. Misra, Theoretical and Computational Aspects of Scattering from Rough Surfaces: One-dimensional Perfectly Reflecting Surfaces Technical Report MCS-97-09, Report # 2 of Work in Progress, MURI Project, AFOSR Grant # F49620-96-1-0039, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, 62 pages (1997).
4. J. Boleng, C. Craig, J. DeSanto, G. Erdmann, W. Hereman, M. Khebchareon, M. Misra, and A. Sinex, Computational Modeling of Rough Surface Scattering Technical Report MCS-96-09, Report # 1 of Work in Progress, MURI Project, AFOSR Grant # F49620-96-1-0039, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, 40 pages (1996).
5. W. Murphy and W. Hereman, Determination of a position in three dimensions using trilateration and approximate distances, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, MCS-95-07, 19 pages (1995).
6. W. Hereman and W. Zhuang, Symbolic Computation of Solitons via Hirota's Method, Technical Report, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, 33 pages (1994).
7. W. Hereman, Y. Nagel and J. Strikwerda, Macsyma at CMS version 309.3: An introduction to symbolic mathematical computation, CMS Technical Summary Report # 88-3, Department of Mathematics & Center for the Mathematical Sciences, The University of Wisconsin, Madison, Wisconsin, 21 pages (1987).

7  Theses

1. W. Hereman, Theoretische Aspecten van Akoesto-Optische Diffractie (Theoretical Aspects of Acousto-optical Diffraction), Ph.D. Dissertation, University of Ghent, Ghent, Belgium, June 1982, 247 pages, 5 figures, in Dutch (1982).
2. W. Hereman, Asymtotische Storingsmethodes in de Studie van Niet-lineaire Resonanties (The Krylov-Bugoliubov-Mitropolski Method and the Two-Timescales Averaging Method for the Study of Nonlinear Dynamical Resonances), Master's Thesis, University of Ghent, Ghent, Belgium, 215 pages, in Dutch (1976).

8  Research Monographs

1. W. Hereman, Theoretische Aspecten van Akoesto-Optische Diffractie (Theoretical Aspects of Acousto-optical Diffraction), Research Monograph, prepared for the Royal Academy of Sciences, Literature and Fine Arts of Belgium, University of Ghent, Ghent, Belgium, 1985, 260 pages, 5 figures, in Dutch (1985).
2. W. Hereman, Een Bijdrage tot de Theoretische Studie van de Diffractie van Gewoon en Laserlicht door een Ultrageluidsgolf in een Vloeistof, Thesis written for the Contest of the Royal Academy of Sciences, Literature and Fine Arts of Belgium. University of Ghent, Ghent, Belgium, 143 pages, in Dutch (1984).

9  Master's and Ph.D. Theses of my students

1. P. Adams, Symbolic Computation of Conserved Densities and Fluxes for Nonlinear Systems of Partial Differential Equations with Transcendental Nonlinearities . M.S. Thesis. Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May, 2003.
2. D. Baldwin, Symbolic Algorithms and Software for the Painlevé Test and Recursion Operators for Nonlinear Partial Differential Equations . M.S. Thesis. Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May, 2004.
3. H. Eklund Symbolic Computation of Conserved Densities and Fluxes for Nonlinear Systems of Differential-difference Equations . M.S. Thesis. Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May, 2003.
4. Ü. Göktas, Algorithmic Computation of Symmetries, Invariants and Recursion Operators for Systems of Nonlinear Evolution and Differential-difference Equations . Ph.D. Thesis. Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May, 1998.
5. Ü. Göktas, Symbolic Computation of Conserved Densities for Systems of Evolution Equations . M.S. Thesis. Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, May, 1996.
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