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Computation of Conservation Laws for Nonlinear Lattices

Ünal Göktas
Organization: Wolfram Research, Inc.
Willy Hereman
Organization: Colorado School of Mines
Department: Department of Mathematical and Computer Sciences
Journal / Anthology

Year: 1998

An algorithm to compute polynomial conserved densities of polynomial nonlinear lattices is presented. The algorithm is implemented in Mathematica and can be used as an automated integrability test. With the code diffdens.m, conserved densities are obtained for several well-known lattice equations. For systems with parameters, the code allows one to determine the conditions on these parameters so that a sequence of conservation laws exist.

*Mathematics > Calculus and Analysis > Differential Equations