Bilinearization of discrete soliton equations and singularity confinement

Kenichi Maruno; Kenji Kajiwara; Shinichiro Nakao; Masayuki Oikawa

doi:10.1016/S0375-9601(97)00171-0

Bilinearization of discrete soliton equations and singularity confinement

Kenichi Maruno, Kenji Kajiwara, Shinichiro Nakao, Masayuki Oikawa

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

21 Citations (Scopus)

Abstract

The singularity confinement method is applied to the systematic derivation of the bilinear equations for discrete soliton equations. Using the bilinear forms, the N-soliton and algebraic solutions of the discrete potential mKdV equation are constructed.

Original language	English
Pages (from-to)	173-182
Number of pages	10
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	229
Issue number	3
DOIs	https://doi.org/10.1016/S0375-9601(97)00171-0
Publication status	Published - 1997 May 12
Externally published	Yes

Keywords

Bilinear form
Discrete potential mKdV equation
Discrete soliton equation
Hirota's method
Singularity confinement

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1016/S0375-9601(97)00171-0

Fingerprint Dive into the research topics of 'Bilinearization of discrete soliton equations and singularity confinement'. Together they form a unique fingerprint.

Cite this

@article{c22c35f5ca0d4cddb7fbe22104254795,

title = "Bilinearization of discrete soliton equations and singularity confinement",

abstract = "The singularity confinement method is applied to the systematic derivation of the bilinear equations for discrete soliton equations. Using the bilinear forms, the N-soliton and algebraic solutions of the discrete potential mKdV equation are constructed.",

keywords = "Bilinear form, Discrete potential mKdV equation, Discrete soliton equation, Hirota's method, Singularity confinement",

author = "Kenichi Maruno and Kenji Kajiwara and Shinichiro Nakao and Masayuki Oikawa",

year = "1997",

month = may,

day = "12",

doi = "10.1016/S0375-9601(97)00171-0",

language = "English",

volume = "229",

pages = "173--182",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Bilinearization of discrete soliton equations and singularity confinement

AU - Maruno, Kenichi

AU - Kajiwara, Kenji

AU - Nakao, Shinichiro

AU - Oikawa, Masayuki

PY - 1997/5/12

Y1 - 1997/5/12

N2 - The singularity confinement method is applied to the systematic derivation of the bilinear equations for discrete soliton equations. Using the bilinear forms, the N-soliton and algebraic solutions of the discrete potential mKdV equation are constructed.

AB - The singularity confinement method is applied to the systematic derivation of the bilinear equations for discrete soliton equations. Using the bilinear forms, the N-soliton and algebraic solutions of the discrete potential mKdV equation are constructed.

KW - Bilinear form

KW - Discrete potential mKdV equation

KW - Discrete soliton equation

KW - Hirota's method

KW - Singularity confinement

UR - http://www.scopus.com/inward/record.url?scp=0043136160&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0043136160&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(97)00171-0

DO - 10.1016/S0375-9601(97)00171-0

M3 - Article

AN - SCOPUS:0043136160

VL - 229

SP - 173

EP - 182

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 -

Bilinearization of discrete soliton equations and singularity confinement

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this