New integrable couplings and Hamiltonian structure of the KN hierarchy and the DLW hierarchy

Yufeng Zhang*, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

Two new loop algebras over(F, ∼) and over(G, ∼) are constructed, which are devoted to establishing the resulting isospectral problems. By taking use of the compatibility of Lax pairs, the two corresponding zero curvature equations are presented from which the integrable couplings of the KN hierarchy and the dispersive long wave hierarchy (briefly called DLW hierarchy). As far as we can see, the above results are new. Again via employing the quadratic identity, the Hamiltonian structures of the two well-known integrable systems are obtained, respectively, and they are Liouville integrable.

Original languageEnglish
Pages (from-to)524-533
Number of pages10
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume13
Issue number3
DOIs
Publication statusPublished - Jun 2008

Scopus Subject Areas

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

User-Defined Keywords

  • Hamiltonian structure
  • Integrable coupling
  • Quadratic identity
  • Trace identity

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