Journal of Nonlinear Mathematical Physics

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Volume 15, Issue 1, March 2008, Pages 66 - 86

Leading order integrability conditions for differential-difference equations

Authors
Mark S. Hickman
Corresponding Author
Mark S. Hickman
Received 23 August 2007, Accepted 5 November 2007, Available Online 1 March 2008.
DOI
10.2991/jnmp.2008.15.1.6How to use a DOI?
Abstract

A necessary condition for the existence of conserved densities and fluxes of a differential-difference equation which depend on q shifts, for q sufficiently large, is presented. This condition depends on the eigenvalues of the leading terms in the differential-difference equation. It also gives, explicitly, the leading integrability conditions on the density in terms of second derivatives.

Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 1
Pages
66 - 86
Publication Date
2008/03/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.1.6How to use a DOI?
Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Mark S. Hickman
PY  - 2008
DA  - 2008/03/01
TI  - Leading order integrability conditions for differential-difference equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 66
EP  - 86
VL  - 15
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.1.6
DO  - 10.2991/jnmp.2008.15.1.6
ID  - Hickman2008
ER  -