Bilinearization of discrete soliton equations and singularity confinement

Kenichi Maruno, Kenji Kajiwara, Shinichiro Nakao, Masayuki Oikawa

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)173-182
Number of pages10
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume229
Issue number3
Publication statusPublished - 1997 May 12
Externally publishedYes

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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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