KdV and Inverse scattering
- To: mathgroup at yoda.physics.unc.edu
- Subject: KdV and Inverse scattering
- From: Chris Eilbeck <chris at cara.ma.hw.ac.uk>
- Date: Mon, 1 Jun 92 11:40:53 BST
>From: Alejandro <rivero at cc.unizar.es> >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,unizar.es > 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 request. Chris Eilbeck Dept of Maths, Heriot-Watt University, Edinburgh. chris at cara.ma.hw.ac.uk