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A Mathematica program about calculating Hirota bilinear D-operator.

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Mathematica Hirota D-operator

Dop.m is not a complete Mathematica package, it only contains a function. You may directly paste it into your programs for using.

Intro
This Mathematica program may help you finding the bilinear form of certain equation, or quickly verifying your calculation result. The program calculating following formula

math

where D is the Hirota bilinear operator defined by

math

Note that for D-operator we have following relation

math

that is how we obtained the calculation program.

Usage
Dop[a[x, t], b[x, t], x, t, m, n]
Return the result for (*).
Or simplier Dop[a, b, x, t, m, n]

Example
Example.nb contains several examples.

TODO

The higher number of veriables with such recursive implementation is considerable (Now only two).

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A Mathematica program about calculating Hirota bilinear D-operator.

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