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KdV and Inverse scattering

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  • Subject: KdV and Inverse scattering
  • From: Chris Eilbeck <chris at>
  • Date: Mon, 1 Jun 92 11:40:53 BST

   >From: Alejandro <rivero at>
   >Subject: KdV.
   >Have anyone implemented KdV equations in Mathematica?
   >Have anyone solved KdV equations usig Inverse Scattering
   >    (Marchenko Equation) methods?
   >(and same question for another eqs in Lax hierarchies?
   >-Alejandro Rivero,
   >Fisica Teorica Universidad De Zaragoza
   >rivero at cc,

There is some basic stuff in Crandall's book, Mathematica for the
Sciences.  I have written some simple Mathematica code for checking and
calculating Lax pairs for some 5th order problems, (cf. the paper by
Fordy in Physica D, v. 52, pg 204, 1991), with applications to
integrable cases of the Henon-Heiles systems and to the theory of
elliptic solitons.  I can send more information or preprints on

Chris Eilbeck
Dept of Maths, Heriot-Watt University, Edinburgh.
chris at

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