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Cell[CellGroupData[{
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Cell[BoxData[
    \(\(\(\ \)\(Get["\<h_itob4.m\>"]\)\(\ \)\)\)], "Input"],

Cell[BoxData[
    \("Package hirota.m was successfully loaded."\)], "Print"],

Cell[BoxData[
    \("/*********************************************************/"\)], \
"Print"],

Cell[BoxData[
    \("/*    WELCOME TO THE MATHEMATICA PROGRAM HIROTA.M        */"\)], \
"Print"],

Cell[BoxData[
    \("/*            BY WILLY HEREMAN AND WUNING ZHUANG         */"\)], \
"Print"],

Cell[BoxData[
    \("/*              FOR THE CALCULATION OF SOLITONS          */"\)], \
"Print"],

Cell[BoxData[
    InterpretationBox[\("/*           OF THE "\[InvisibleSpace]"Ito-b4"\
\[InvisibleSpace]" EQUATION                   */"\),
      SequenceForm[ 
      "/*           OF THE ", "Ito-b4", " EQUATION                   */"],
      Editable->False]], "Print"],

Cell[BoxData[
    \("/*              WITH HIROTA'S METHOD                     */"\)], \
"Print"],

Cell[BoxData[
    \("/*     Version 1.0 firts released on May 29, 1995        */"\)], \
"Print"],

Cell[BoxData[
    \("/*      Last updated on January 25, 2007                 */"\)], \
"Print"],

Cell[BoxData[
    \("/*               Copyright 1995-2007                     */"\)], \
"Print"],

Cell[BoxData[
    \("/*********************************************************/"\)], \
"Print"],

Cell[BoxData[
    \("The equation in f corresponding to the given bilinear operator is \
"\)], "Print"],

Cell[BoxData[
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        RowBox[{
          RowBox[{
            RowBox[{
              SuperscriptBox["f", 
                TagBox[\((0, 0, 0, 1)\),
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                MultilineFunction->None], "[", \(x, y, z, t\), "]"}], " ", 
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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            Complex[ 0, 1]], -1]],
      Editable->False]], "Print"],

Cell[BoxData[
    \("In the Expansion of f we use THETA = K X - OMEGA T + CST."\)], "Print"],

Cell[BoxData[
    \("Starting the random test(s) for the existence of a "\)], "Print"],

Cell[BoxData[
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      Editable->False]], "Print"],

Cell[BoxData[
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Cell[BoxData[
    InterpretationBox[\("for this test \
K["\[InvisibleSpace]3\[InvisibleSpace]"] = "\[InvisibleSpace]19\),
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      Editable->False]], "Print"],

Cell[BoxData[
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Cell[BoxData[
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\[InvisibleSpace]" soliton solution."\),
      SequenceForm[ "the existence of a ", 3, " soliton solution."],
      Editable->False]], "Print"],

Cell[BoxData[
    \("Starting the construction of the two-soliton solution."\)], "Print"],

Cell[BoxData[
    \("The coefficient a[I,J] is calculated via the polynomial form."\)], \
"Print"],

Cell[BoxData[
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Cell[BoxData[
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                K[ J]]], 2], 
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            Plus[ 
              K[ 
                Complex[ 0, 1]], 
              K[ J]], -2], 
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                Complex[ 0, 1]], 2], 
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              K[ 
                Complex[ 0, 1]], 
              K[ J]], 
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                  Complex[ 0, 1]], 2], 
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                K[ J]], 
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Cell[BoxData[
    InterpretationBox[\("The function f = "\[InvisibleSpace]\(1 + \
\[ExponentialE]\^THETA[1] + \[ExponentialE]\^THETA[2] + \
\[ExponentialE]\^\(THETA[1] + THETA[2]\)\ a[1, 2]\)\),
      SequenceForm[ "The function f = ", 
        Plus[ 1, 
          Power[ E, 
            THETA[ 1]], 
          Power[ E, 
            THETA[ 2]], 
          Times[ 
            Power[ E, 
              Plus[ 
                THETA[ 1], 
                THETA[ 2]]], 
            a[ 1, 2]]]],
      Editable->False]], "Print"],

Cell[BoxData[
    \("At the end of the computations the form of the function f"\)], "Print"],

Cell[BoxData[
    \("and the coefficient a[1,2] are explicitly available."\)], "Print"],

Cell[BoxData[
    \("The explicit forms of OMEGA[i] and THETA[i] are also available."\)], \
"Print"],

Cell[BoxData[
    \("The Explicit form of f can be obtained by typing EXPRF."\)], "Print"]
}, Open  ]]
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