A subalgebra of loop algebra Ã2 and its applications

Yu Feng Zhang*, Hon Wah TAM, Fu Kui Guo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

A subalgebra of loop algebra Ã2 and its expanding loop algebra Ḡ are constructed. It follows that both resulting integrable Hamiltonian hierarchies are obtained. As a reduction case of the first hierarchy, a generalized nonlinear coupled Schrödinger equation, the standard heat-conduction and a formalism of the well known Ablowitz, Kaup, Newell and Segur hierarchy are given, respectively. As a reduction case of the second hierarchy, the nonlinear Schrödinger and modified Korteweg de Vries hierarchy and a new integrable system are presented. Especially, a coupled generalized Burgers equation is generated.

Original languageEnglish
Pages (from-to)132-138
Number of pages7
JournalChinese Physics
Volume13
Issue number2
Publication statusPublished - 1 Feb 2004

Scopus Subject Areas

  • Physics and Astronomy(all)

User-Defined Keywords

  • Hamiltonian structure
  • Integrable hierarchy
  • Loop algebra

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