On the construction of the KP line-solitons and their interactions

Sarbarish Chakravarty, Tim Lewkow, Ken Ichi Maruno

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

The line-soliton solutions of the Kadomtsev-Petviashvili (KP) equation are investigated in this article using the τ-function formalism. In particular, the Wronskian and the Grammian forms of the τ-function are discussed, and the equivalence of these two forms are established. Furthermore, the interaction properties of two special types of 2-soliton solutions of the KP equation are studied in details.

Original languageEnglish
Pages (from-to)529-545
Number of pages17
JournalApplicable Analysis
Volume89
Issue number4
DOIs
Publication statusPublished - 2010 Apr 1
Externally publishedYes

Keywords

  • KP equation
  • Line-solitons
  • τ-function

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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