### 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 language | English |
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Pages (from-to) | 115-118 |

Number of pages | 4 |

Journal | Physics Letters A |

Volume | 146 |

Issue number | 3 |

DOIs | |

Publication status | Published - May 14 1990 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Physics Letters A*,

*146*(3), 115-118. https://doi.org/10.1016/0375-9601(90)90647-7

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

Research output: Contribution to journal › Article

*Physics Letters A*, vol. 146, no. 3, pp. 115-118. https://doi.org/10.1016/0375-9601(90)90647-7

}

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

AN - SCOPUS:0006310231

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 -