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

Unal Goktas·Willy Hereman·Grant Erdmann
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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.

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Unal Goktas, Willy Hereman, Grant Erdmann. 1997-04-23. Computation of conserved densities for systems of nonlinear differential-difference equations. https://doi.org/10.1016/s0375-9601(97)00750-0

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