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

Sarbarish Chakravarty; Tim Lewkow; Ken Ichi Maruno

doi:10.1080/00036810903403343

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

Sarbarish Chakravarty^*, Tim Lewkow, Ken Ichi Maruno

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 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 language	English
Pages (from-to)	529-545
Number of pages	17
Journal	Applicable Analysis
Volume	89
Issue number	4
DOIs	https://doi.org/10.1080/00036810903403343
Publication status	Published - 2010 Apr
Externally published	Yes

Keywords

KP equation
Line-solitons
τ-function

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036810903403343

Cite this

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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.",

keywords = "KP equation, Line-solitons, τ-function",

author = "Sarbarish Chakravarty and Tim Lewkow and Maruno, {Ken Ichi}",

note = "Funding Information: We thank Yuji Kodama for useful discussions. The research of the S. Chakravarty and T. Lewkow is partially supported by the NSF grant DMS-0807404.",

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AU - Chakravarty, Sarbarish

AU - Lewkow, Tim

AU - Maruno, Ken Ichi

N1 - Funding Information: We thank Yuji Kodama for useful discussions. The research of the S. Chakravarty and T. Lewkow is partially supported by the NSF grant DMS-0807404.

PY - 2010/4

Y1 - 2010/4

N2 - 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.

AB - 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.

KW - KP equation

KW - Line-solitons

KW - τ-function

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JO - Applicable Analysis

JF - Applicable Analysis

IS - 4

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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