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

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 Mathemati...

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Veröffentlicht in:	arXiv.org 1997-04
Hauptverfasser:	Unal Goktas, Hereman, Willy, Erdmann, Grant
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Computation Computer algebra Difference equations Differential equations Integral calculus Lattices (mathematics) Mathematical analysis Nonlinear equations Nonlinear systems Schrodinger equation
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.9704016