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
where D is the Hirota bilinear operator defined by
Note that for D-operator we have following relation
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.
The higher number of veriables with such recursive implementation is considerable (Now only two).