A generalized Hirota-Satsuma coupled Korteweg-de vries equation and Miura transformations

Yongtang Wu*, Xianguo Geng, Xingbiao Hu, Siming Zhu

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

156 Citations (Scopus)

Abstract

By introducing a 4 X 4 matrix spectral problem with three potentials, we propose a new hierarchy of nonlinear evolution equations. A typical equation in the hierarchy is a generalization of the Hirota-Satsuma coupled Korteweg-de Vries equation. Also, it is shown that the hierarchy possesses the generalized Hamiltonian form. Further, a Miura transformation related to the typical equation and its reductions are derived, from which some new coupled modified Korteweg-de Vries equations are obtained.

Original languageEnglish
Pages (from-to)259-264
Number of pages6
JournalPhysics Letters A
Volume255
Issue number4-6
DOIs
Publication statusPublished - 17 May 1999
Externally publishedYes

Scopus Subject Areas

  • Physics and Astronomy(all)

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