(2+1)-dimensional integrable lattice hierarchies related to discrete fourth-order nonisospectral problems

Hon Wah TAM*, Zuo Nong Zhu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper, we consider the (2+1)-dimensional discrete fourth-order nonisospectral problem. By using the Lax technique, three new (2+1)-dimensional nonisospectral four-field integrable lattice hierarchies are constructed. Their reductions yield three (1+1)-dimensional isospectral four-field integrable lattice hierarchies due to Mlaszak-Marciniak. We make a comparison between the (1+1)-dimensional discrete fourth-order nonisospectral problem and the third-order nonisospectral problem. We found that the integrable lattice hierarchies related to the discrete fourth-order nonisospectral problem have new characteristics.

Original languageEnglish
Pages (from-to)13031-13045
Number of pages15
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
Issue number43
DOIs
Publication statusPublished - 26 Oct 2007

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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