Computation of conservation laws for nonlinear lattices

Details Computation of conservation laws for nonlinear lattices Computation of conservation laws for nonlinear lattices

1998-01-22

arxiv.org/abs/solv-int/9801023v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

To appear in Physica D, 17 pages, Latex, uses the style files elsart.sty and elsart12.sty

Scientific paper

10.1016/S0167-2789(98)00140-7

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.

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