Similarity reduction of the modified Yajima-Oikawa equation

Tetsuya Kikuchi, Takeshi Ikeda, Saburo Kakei

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We study a similarity reduction of the modified Yajima-Oikawa hierarchy. The hierarchy is associated with a non-standard Heisenberg subalgebra in the affine Lie algebra of type A2(1)The system of equations for self-similar solutions is presented as a Hamiltonian system of degree of freedom 2, and admits a group of Bäcklund transformations isomorphic to the affine Weyl group of type A2(1). We show that the system is equivalent to a two-parameter family of the fifth Painlevé equation.

Original languageEnglish
Pages (from-to)11465-11480
Number of pages16
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number45
DOIs
Publication statusPublished - 2003 Nov 14
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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