Soliton-antisoliton collision in the ultradiscrete modified KdV equation

S. Isojima, M. Murata, A. Nobe, J. Satsuma

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

The discrete modified Korteweg-de Vries equation admits exact solutions with nondefinite sign, which describe interaction among solitons with positive and negative amplitude. In this Letter a transformation of hyperbolic sine type is proposed in order to ultradiscretize this equation and solutions.

Original languageEnglish
Pages (from-to)31-35
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume357
Issue number1
DOIs
Publication statusPublished - 2006 Aug 28
Externally publishedYes

Keywords

  • Cellular automaton
  • Discrete
  • Integrable systems
  • Modified KdV equation
  • Soliton

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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