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

Fingerprint

hierarchies
nonlinear equations

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Conserved quantities of two-component KP hierarchy. / Kajiwara, Kenji; Matsukidaira, Junta; Satsuma, Junkichi.

In: Physics Letters A, Vol. 146, No. 3, 14.05.1990, p. 115-118.

Research output: Contribution to journalArticle

Kajiwara, Kenji ; Matsukidaira, Junta ; Satsuma, Junkichi. / Conserved quantities of two-component KP hierarchy. In: Physics Letters A. 1990 ; Vol. 146, No. 3. pp. 115-118.
@article{d4a7b1cb20294261aa59c905827b401f,
title = "Conserved quantities of two-component KP hierarchy",
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 Schr{\"o}dinger 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.",
author = "Kenji Kajiwara and Junta Matsukidaira and Junkichi Satsuma",
year = "1990",
month = "5",
day = "14",
doi = "10.1016/0375-9601(90)90647-7",
language = "English",
volume = "146",
pages = "115--118",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Conserved quantities of two-component KP hierarchy

AU - Kajiwara, Kenji

AU - Matsukidaira, Junta

AU - Satsuma, Junkichi

PY - 1990/5/14

Y1 - 1990/5/14

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0006310231&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0006310231&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(90)90647-7

DO - 10.1016/0375-9601(90)90647-7

M3 - Article

VL - 146

SP - 115

EP - 118

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 3

ER -