The discrete potential Boussinesq equation and its multisoliton solutions

Kenichi Maruno, Kenji Kajiwara

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

An alternate form of discrete potential Boussinesq (BSQ) equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential BSQ equation is also obtained from the discrete potential BSQ equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential BSQ equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential BSQ equation and the lattice potential BSQ equation by Nijhoff et al. is clarified.

Original languageEnglish
Pages (from-to)593-609
Number of pages17
JournalApplicable Analysis
Volume89
Issue number4
DOIs
Publication statusPublished - 2010 Apr
Externally publishedYes

Fingerprint

Boussinesq Equations
Alternate
Singularity

Keywords

  • Bilinear equations
  • Discrete potential Boussinesq equation
  • Multisoliton solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

The discrete potential Boussinesq equation and its multisoliton solutions. / Maruno, Kenichi; Kajiwara, Kenji.

In: Applicable Analysis, Vol. 89, No. 4, 04.2010, p. 593-609.

Research output: Contribution to journalArticle

@article{14faabf28fd04f459101b2f8f8a18e2b,
title = "The discrete potential Boussinesq equation and its multisoliton solutions",
abstract = "An alternate form of discrete potential Boussinesq (BSQ) equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential BSQ equation is also obtained from the discrete potential BSQ equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential BSQ equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential BSQ equation and the lattice potential BSQ equation by Nijhoff et al. is clarified.",
keywords = "Bilinear equations, Discrete potential Boussinesq equation, Multisoliton solutions",
author = "Kenichi Maruno and Kenji Kajiwara",
year = "2010",
month = "4",
doi = "10.1080/00036810903569473",
language = "English",
volume = "89",
pages = "593--609",
journal = "Applicable Analysis",
issn = "0003-6811",
publisher = "Taylor and Francis Ltd.",
number = "4",

}

TY - JOUR

T1 - The discrete potential Boussinesq equation and its multisoliton solutions

AU - Maruno, Kenichi

AU - Kajiwara, Kenji

PY - 2010/4

Y1 - 2010/4

N2 - An alternate form of discrete potential Boussinesq (BSQ) equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential BSQ equation is also obtained from the discrete potential BSQ equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential BSQ equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential BSQ equation and the lattice potential BSQ equation by Nijhoff et al. is clarified.

AB - An alternate form of discrete potential Boussinesq (BSQ) equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential BSQ equation is also obtained from the discrete potential BSQ equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential BSQ equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential BSQ equation and the lattice potential BSQ equation by Nijhoff et al. is clarified.

KW - Bilinear equations

KW - Discrete potential Boussinesq equation

KW - Multisoliton solutions

UR - http://www.scopus.com/inward/record.url?scp=77950884012&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950884012&partnerID=8YFLogxK

U2 - 10.1080/00036810903569473

DO - 10.1080/00036810903569473

M3 - Article

AN - SCOPUS:77950884012

VL - 89

SP - 593

EP - 609

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

IS - 4

ER -