An unified form of the AKNS and BPT hierarchies with two arbitrary parameters

Engui Fan*, Hon Wah TAM, Yufeng Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We present a new basis of the loop algebra over(A, ̃)1 which is devote to setting up a new isospectral problem. By using Tu scheme, a new Liouville integrable hierarchy of soliton equations with two arbitrary parameters, which possesses the bi-Hamiltonian structure, is worked out. As reduction cases, it is shown that the hierarchy can be decomposed into the well-known AKNS hierarchy and the BPT hierarchy by taking different values of the parameters respectively. We call the hierarchy as an unified expression of the AKNS and the BPT hierarchies.

Original languageEnglish
Pages (from-to)99-104
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number1
Publication statusPublished - 18 Dec 2006

Scopus Subject Areas

  • Physics and Astronomy(all)

User-Defined Keywords

  • AKNS hierarchy
  • BPT hierarchy
  • Hamiltonian structure
  • Loop algebra


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