The discrete potential Boussinesq equation and its multisoliton solutions

Ken Ichi Maruno*, Kenji Kajiwara

*この研究の対応する著者

研究成果: Article査読

9 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)593-609
ページ数17
ジャーナルApplicable Analysis
89
4
DOI
出版ステータスPublished - 2010 4
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 応用数学

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