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)

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10.1016/S0375-9601(97)00171-0

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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",

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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

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