Conserved quantities of two-component KP hierarchy

Kenji Kajiwara, Junta Matsukidaira, Junkichi Satsuma

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

The two-component KP hierarchy is considered. It is shown that the Davey-Stewartson equation is the simplest nontrivial equation in the hierarchy, and that the nonlinear Schrödinger equation, its higher order extension and the modified KdV equation are derived from suitable reductions of the hierarchy. By using this fact, conserved quantities of those equations are explicitly given.

Original languageEnglish
Pages (from-to)115-118
Number of pages4
JournalPhysics Letters A
Volume146
Issue number3
DOIs
Publication statusPublished - May 14 1990
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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