Computation of conserved densities for systems of nonlinear differential-difference equations

Abstract

A new method for the computation of conserved densities of nonlinear differential-difference equations is applied to Toda lattices and discretizations of the Korteweg-de Vries and nonlinear Schrodinger equations. The algorithm, which can be implemented in computer algebra languages such as Mathematica, can be used as an indicator of integrability.

submitted to Phys. Lett A, 10 pages, latex

References in corpus (3)

• New integrable systems related to the relativistic Toda lattice
• A new integrable system related to the Toda lattice
• Using Conservation Laws to Solve Toda Field Theories

Cited by in corpus (5)

• Integrable semi-discretization of the coupled nonlinear Schrödinger equations
• Computation of conservation laws for nonlinear lattices
• A Symbolic Algorithm for Computing Recursion Operators of Nonlinear PDEs
• Algorithmic Integrability Tests for Nonlinear Differential and Lattice Equations
• Symmetries, conservation laws and Noether's theorem for differential-difference equations