Construction of integrals of higher-order mappings

Kenichi Maruno, G. Reinout W Quispel

Research output: Contribution to journalArticle

8 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 languageEnglish
Article number123001
JournalJournal of the Physical Society of Japan
Volume75
Issue number12
DOIs
Publication statusPublished - 2006 Dec
Externally publishedYes

Fingerprint

conservation laws

Keywords

  • Bilinear equations
  • Integrable mappings
  • Integrals

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Construction of integrals of higher-order mappings. / Maruno, Kenichi; Quispel, G. Reinout W.

In: Journal of the Physical Society of Japan, Vol. 75, No. 12, 123001, 12.2006.

Research output: Contribution to journalArticle

@article{6bb5f067f418466e995123bb4fb83e04,
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 = "Kenichi Maruno and Quispel, {G. Reinout W}",
year = "2006",
month = "12",
doi = "10.1143/JPSJ.75.123001",
language = "English",
volume = "75",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "12",

}

TY - JOUR

T1 - Construction of integrals of higher-order mappings

AU - Maruno, Kenichi

AU - Quispel, G. Reinout W

PY - 2006/12

Y1 - 2006/12

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

UR - http://www.scopus.com/inward/record.url?scp=33847320777&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33847320777&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.75.123001

DO - 10.1143/JPSJ.75.123001

M3 - Article

VL - 75

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 12

M1 - 123001

ER -