Construction of integrals of higher-order mappings

Ken Ichi Maruno; G. Reinout W. Quispel

doi:10.1143/JPSJ.75.123001

Construction of integrals of higher-order mappings

Ken Ichi Maruno^*, G. Reinout W. Quispel

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We find that certain higher-order mappings arise as reductions of the integrable discrete A-type KP (AKP) and B-type KP (BKP) equations. We find conservation laws for the AKP and BKP equations, then we use these conservation laws to derive integrals of the associated reduced maps.

Original language	English
Article number	123001
Journal	journal of the physical society of japan
Volume	75
Issue number	12
DOIs	https://doi.org/10.1143/JPSJ.75.123001
Publication status	Published - 2006 Dec
Externally published	Yes

Keywords

Bilinear equations
Integrable mappings
Integrals

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.75.123001

Cite this

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title = "Construction of integrals of higher-order mappings",

abstract = "We find that certain higher-order mappings arise as reductions of the integrable discrete A-type KP (AKP) and B-type KP (BKP) equations. We find conservation laws for the AKP and BKP equations, then we use these conservation laws to derive integrals of the associated reduced maps.",

keywords = "Bilinear equations, Integrable mappings, Integrals",

author = "Maruno, {Ken Ichi} and Quispel, {G. Reinout W.}",

year = "2006",

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T1 - Construction of integrals of higher-order mappings

AU - Maruno, Ken Ichi

AU - Quispel, G. Reinout W.

PY - 2006/12

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N2 - We find that certain higher-order mappings arise as reductions of the integrable discrete A-type KP (AKP) and B-type KP (BKP) equations. We find conservation laws for the AKP and BKP equations, then we use these conservation laws to derive integrals of the associated reduced maps.

AB - We find that certain higher-order mappings arise as reductions of the integrable discrete A-type KP (AKP) and B-type KP (BKP) equations. We find conservation laws for the AKP and BKP equations, then we use these conservation laws to derive integrals of the associated reduced maps.

KW - Bilinear equations

KW - Integrable mappings

KW - Integrals

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DO - 10.1143/JPSJ.75.123001

M3 - Article

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SN - 0031-9015

VL - 75

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 12

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ER -

Construction of integrals of higher-order mappings

Abstract

Keywords

ASJC Scopus subject areas

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