The discrete potential Boussinesq equation and its multisoliton solutions

Ken Ichi Maruno; Kenji Kajiwara

doi:10.1080/00036810903569473

The discrete potential Boussinesq equation and its multisoliton solutions

Ken Ichi Maruno, Kenji Kajiwara

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	593-609
Number of pages	17
Journal	Applicable Analysis
Volume	89
Issue number	4
DOIs	https://doi.org/10.1080/00036810903569473
Publication status	Published - 2010 Apr 1

Fingerprint

Keywords

Bilinear equations
Discrete potential Boussinesq equation
Multisoliton solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

Maruno, K. I., & Kajiwara, K. (2010). The discrete potential Boussinesq equation and its multisoliton solutions. Applicable Analysis, 89(4), 593-609. https://doi.org/10.1080/00036810903569473

@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 = "Maruno, {Ken Ichi} and Kenji Kajiwara",

year = "2010",

month = apr

day = "1",

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, Ken Ichi

AU - Kajiwara, Kenji

PY - 2010/4/1

Y1 - 2010/4/1

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 -

Access to Document

10.1080/00036810903569473