Constraint of discrete Lax equations with some special types of Lax pairs

Nianhua Li, Biao Li, Hongmin Li, Yuqi Li

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In this paper, firstly we deduce the constraint of discrete Lax equations with some special forms of Lax pairs. Then to illustrate the validity of the method, we construct two discrete Lax equations and successfully obtain their constraints by the method. At the same time, infinitely many conservation laws of these two discrete equations are obtained by the discrete residue formula and the first two conserved quantities are given explicitly. It's interesting that we can obtain continuous AKNS hierarchy and KdV hierarchy through the two discrete Lax pairs. Furthermore, the 0-boundary problem for the first discrete equation is considered.

Original languageEnglish
Title of host publication2011 International Conference on Multimedia Technology, ICMT 2011
Pages5779-5782
Number of pages4
DOIs
StatePublished - 2011
Externally publishedYes
Event2nd International Conference on Multimedia Technology, ICMT 2011 - Hangzhou, China
Duration: 26 Jul 201128 Jul 2011

Publication series

Name2011 International Conference on Multimedia Technology, ICMT 2011

Conference

Conference2nd International Conference on Multimedia Technology, ICMT 2011
Country/TerritoryChina
CityHangzhou
Period26/07/1128/07/11

Keywords

  • Constraint
  • Discrete lax equation
  • Lax pair

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