The discrete potential Boussinesq equation and its multisoliton solutions

Ken Ichi Maruno, Kenji Kajiwara

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

An alternate form of discrete potential Boussinesq (BSQ) equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential BSQ equation is also obtained from the discrete potential BSQ equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential BSQ equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential BSQ equation and the lattice potential BSQ equation by Nijhoff et al. is clarified.

Original languageEnglish
Pages (from-to)593-609
Number of pages17
JournalApplicable Analysis
Volume89
Issue number4
DOIs
Publication statusPublished - 2010 Apr 1
Externally publishedYes

Keywords

  • Bilinear equations
  • Discrete potential Boussinesq equation
  • Multisoliton solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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