Software

1. D. Baldwin and W. Hereman, recursionOperator.m : A Mathematica program for testing the validity of recursion operators for systems of nonlinear partial differential equations (2003-2007).
2. P.J. Adams and W. Hereman, TransPDEDensityFlux.m: Symbolic computation of conserved densities and fluxes for systems of partial differential equations with transcendental nonlinearities (2002).
3. H. Eklund and W. Hereman, DDEDensityFlux.m: Symbolic computation of conserved densities and fluxes for nonlinear systems of differential-difference equations (2002).
4. J. Blevins, J. Heath, and W. Hereman, PDESolutionTester.m : A Mathematica program for the symbolic verification of exact solutions of nonlinear partial differential equations (2002).
5. D. Baldwin, Ü. Göktas, W. Hereman, L. Hong, R. Martino, and J.C. Miller, PDESpecialSolutions.m : A Mathematica program for the symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for systems of nonlinear partial differential equations (2002).
6. D. Baldwin, Ü. Göktas, W. Hereman, L. Hong, R. Martino, and J.C. Miller, DDESpecialSolutions.m: A Mathematica program for the symbolic computation of tanh solutions for systems of nonlinear differential-difference equations (2001).
7. D. Baldwin and W. Hereman, PainleveTest.m: A Mathematica package for the Painleve test of systems of nonlinear ordinary and partial differential equations (2001-2007).
8. Ü. Göktas and W. Hereman, InvariantsSymmetries.m: A Mathematica integrability package for the computation of invariants and symmetries (1997).
9. Ü. Göktas and W. Hereman, DIFFDENS.M: A Mathematica program for the symbolic computation of conserved densities for systems of nonlinear differential-difference equations (1997). The package diffdens.m was further developed into DDEDensityFlux.m (2002).
10. Ü. Göktas and W. Hereman, CONDENS.M: A Mathematica program for the symbolic computation of conserved densities for systems of nonlinear evolution equations (1996). Software package has been improved and updated to run under Mathematica versions 3, 4, and 5 (2007).
11. Ü. Göktas and W. Hereman, PAINSYS.MAX: A MACSYMA program for the Painleve test of systems of nonlinear ordinary and partial differential equations (1995).
12. W. Hereman and A. Miller, PAINMATH.M: A Mathematica program for the Painleve test of single nonlinear ordinary and partial differential equations (1995). Obsolete package; replaced by PainleveTest.m (Baldwin and Hereman).
13. W. Hereman and W. Zhuang, HIROTA.MAX: A MACSYMA program for the calculation of soliton solutions via Hirota's method (1991-1995).
    Program and Manual might be added to the MACSYMA Out of Core Library in 1997.
14. W. Hereman and W. Zhuang, hirota.m: A Mathematica program for the calculation of soliton solutions via Hirota's method (1991-1995).
15. B. Champagne, W. Hereman, and P. Winternitz SYMMGRP.MAX: A MACSYMA program for the calculation of Lie point symmetries of large systems of differential equations (1991).
    Program with Manual are added to the Computer Physics Communications Program Library, Queen's University of Belfast, North Ireland (1991).
16. W. Hereman and W. Murphy, Trilater.c: The trilateration program.
    Proprietary program in C++ and manual are used in the `Bulldozer Project.' Designed for Thunder Basin Coal Company, Wright, Wyoming (1991).
17. W. Hereman, PAINSING.MAX: A MACSYMA program for the Painleve test.
    Program appeared in Finite Dimensional Integrable Nonlinear Dynamical Systems, Eds.: P.G.L. Leach and W.-H. Steeb, World Scientific, Singapore, 1988.
    The program was featured in the MACSYMA Newsletter, vol. 6, January 1989, MACSYMA Inc., Arlington, Massachusetts (1989).

Last updated: August 4, 2007