An integrable hierarchy and Darboux transformations, bilinear Bäcklund transformations of a reduced equation

Yufeng Zhang*, Zhong Han, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

A new integrable hierarchy of evolution equations is obtained by making use of a Lie algebra and Tu-Ma scheme, from which a new generalized Broer-Kaup (gBK) equation is produced. Then two kinds of Darboux transformations, the bilinear presentation, the bilinear Bäcklund transformation and the new Lax pair of the gBK equation are generated, respectively, by employing the Bell polynomials.

Original languageEnglish
Pages (from-to)5837-5848
Number of pages12
JournalApplied Mathematics and Computation
Volume219
Issue number11
DOIs
Publication statusPublished - 2013

Scopus Subject Areas

  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Bäcklund transformation
  • Bell polynomials
  • Integrable hierarchy

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