Computation of conservation laws for nonlinear lattices

Abstract

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.

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

References in corpus (2)

• Computation of conserved densities for systems of nonlinear differential-difference equations
• Using Conservation Laws to Solve Toda Field Theories

Cited by in corpus (9)

• Symbolic Computation of Conservation Laws of Nonlinear Partial Differential Equations in Multi-dimensions
• A Symbolic Algorithm for Computing Recursion Operators of Nonlinear PDEs
• Algorithmic Integrability Tests for Nonlinear Differential and Lattice Equations
• Direct Methods and Symbolic Software for Conservation Laws of Nonlinear Equations
• Integrability Tests for Nonlinear Evolution Equations
• Continuous and Discrete Homotopy Operators with Applications in Integrability Testing
• Computation of Higher-order Symmetries for Nonlinear Evolution and Lattice Equations
• Invariants and Symmetries for Partial Differential Equations and Lattices
• Integrability of a discrete Yajima-Oikawa system