Bilinearization of discrete soliton equations and singularity confinement

Kenichi Maruno, Kenji Kajiwara, Shinichiro Nakao, Masayuki Oikawa

Research output: Contribution to journal › Article

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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solitary waves
derivation

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Bilinearization of discrete soliton equations and singularity confinement. / Maruno, Kenichi; Kajiwara, Kenji; Nakao, Shinichiro; Oikawa, Masayuki.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 229, No. 3, 12.05.1997, p. 173-182.

Research output: Contribution to journal › Article

Maruno, K, Kajiwara, K, Nakao, S & Oikawa, M 1997, 'Bilinearization of discrete soliton equations and singularity confinement', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 229, no. 3, pp. 173-182.
Maruno K, Kajiwara K, Nakao S, Oikawa M. Bilinearization of discrete soliton equations and singularity confinement. Physics Letters, Section A: General, Atomic and Solid State Physics. 1997 May 12;229(3):173-182.
Maruno, Kenichi ; Kajiwara, Kenji ; Nakao, Shinichiro ; Oikawa, Masayuki. / Bilinearization of discrete soliton equations and singularity confinement. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 1997 ; Vol. 229, No. 3. pp. 173-182.
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