Exact travelling wave solutions to the (3+1)-dimensional Kadomtsev-Petviashvili equation

Y. Z. Peng; E. V. Krishnan

doi:10.12693/APhysPolA.108.421

Exact travelling wave solutions to the (3+1)-dimensional Kadomtsev-Petviashvili equation

Y. Z. Peng^*, E. V. Krishnan

^*Corresponding author for this work

Mathematics

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

7 Citations (Scopus)

Abstract

Exact travelling wave solutions in terms of the Jacobi elliptic functions are obtained to the (3+1)-dimensional Kadomtsev-Petviashvili equation by means of the extended mapping method. Limit cases are studied, and new solitary wave solutions and trigonometric periodic wave solutions are got. The method is applicable to a large variety of nonlinear partial differential equations.

Original language	English
Pages (from-to)	421-428
Number of pages	8
Journal	Acta Physica Polonica A
Volume	108
Issue number	3
DOIs	https://doi.org/10.12693/APhysPolA.108.421
Publication status	Published - Sept 2005

ASJC Scopus subject areas

General Physics and Astronomy

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10.12693/APhysPolA.108.421

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title = "Exact travelling wave solutions to the (3+1)-dimensional Kadomtsev-Petviashvili equation",

abstract = "Exact travelling wave solutions in terms of the Jacobi elliptic functions are obtained to the (3+1)-dimensional Kadomtsev-Petviashvili equation by means of the extended mapping method. Limit cases are studied, and new solitary wave solutions and trigonometric periodic wave solutions are got. The method is applicable to a large variety of nonlinear partial differential equations.",

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N2 - Exact travelling wave solutions in terms of the Jacobi elliptic functions are obtained to the (3+1)-dimensional Kadomtsev-Petviashvili equation by means of the extended mapping method. Limit cases are studied, and new solitary wave solutions and trigonometric periodic wave solutions are got. The method is applicable to a large variety of nonlinear partial differential equations.

AB - Exact travelling wave solutions in terms of the Jacobi elliptic functions are obtained to the (3+1)-dimensional Kadomtsev-Petviashvili equation by means of the extended mapping method. Limit cases are studied, and new solitary wave solutions and trigonometric periodic wave solutions are got. The method is applicable to a large variety of nonlinear partial differential equations.

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Exact travelling wave solutions to the (3+1)-dimensional Kadomtsev-Petviashvili equation

Abstract

ASJC Scopus subject areas

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