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Computation of Conserved Densities for Systems of Nonlinear Differential-Difference Equations

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

Physics Letters A
Year: 1997
Volume: 236
Page range: 30-38

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 Schödinger equations. The algorithm, which can be implemented in computer algebra languages such as Mathematica, can be used as an indicator of integrability.

*Mathematics > Calculus and Analysis > Differential Equations