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

Sarbarish Chakravarty, Tim Lewkow, Kenichi Maruno

Research output: Contribution to journalArticle

11 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
Externally publishedYes

Fingerprint

Kadomtsev-Petviashvili Equation
Soliton Solution
Solitons
Wronskian
Line
Interaction
Equivalence
Form

Keywords

  • τ-function
  • KP equation
  • Line-solitons

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On the construction of the KP line-solitons and their interactions. / Chakravarty, Sarbarish; Lewkow, Tim; Maruno, Kenichi.

In: Applicable Analysis, Vol. 89, No. 4, 04.2010, p. 529-545.

Research output: Contribution to journalArticle

Chakravarty, Sarbarish ; Lewkow, Tim ; Maruno, Kenichi. / On the construction of the KP line-solitons and their interactions. In: Applicable Analysis. 2010 ; Vol. 89, No. 4. pp. 529-545.
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