The improved F-expansion method and its applications

Jin Liang Zhang; Ming Liang Wang; Yue Ming Wang; Zong De Fang

doi:10.1016/j.physleta.2005.10.099

The improved F-expansion method and its applications

Jin Liang Zhang
, Ming Liang Wang
, Yue Ming Wang
, Zong De Fang

School of Mechanical Engineering

Henan University of Science and Technology
Lanzhou University

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

236 Scopus citations

Abstract

The F-expansion method has been developed recently, and is a useful tool to derive the periodic wave solutions expressed by Jacobi elliptic functions for the nonlinear evolution equations. In this Letter, the improved F-expansion method, and the condition which the improved F-expansion method can be used, are introduced. As the illustrative example, the exact solutions expressed by Jacobi elliptic functions, Weierstrass elliptic function, triangle functions, hyperbolic functions and other type of functions for the generalized Hirota-Satsuma coupled KdV equation are derived.

Original language	English
Pages (from-to)	103-109
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	350
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physleta.2005.10.099
State	Published - 30 Jan 2006

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10.1016/j.physleta.2005.10.099

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abstract = "The F-expansion method has been developed recently, and is a useful tool to derive the periodic wave solutions expressed by Jacobi elliptic functions for the nonlinear evolution equations. In this Letter, the improved F-expansion method, and the condition which the improved F-expansion method can be used, are introduced. As the illustrative example, the exact solutions expressed by Jacobi elliptic functions, Weierstrass elliptic function, triangle functions, hyperbolic functions and other type of functions for the generalized Hirota-Satsuma coupled KdV equation are derived.",

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N2 - The F-expansion method has been developed recently, and is a useful tool to derive the periodic wave solutions expressed by Jacobi elliptic functions for the nonlinear evolution equations. In this Letter, the improved F-expansion method, and the condition which the improved F-expansion method can be used, are introduced. As the illustrative example, the exact solutions expressed by Jacobi elliptic functions, Weierstrass elliptic function, triangle functions, hyperbolic functions and other type of functions for the generalized Hirota-Satsuma coupled KdV equation are derived.

AB - The F-expansion method has been developed recently, and is a useful tool to derive the periodic wave solutions expressed by Jacobi elliptic functions for the nonlinear evolution equations. In this Letter, the improved F-expansion method, and the condition which the improved F-expansion method can be used, are introduced. As the illustrative example, the exact solutions expressed by Jacobi elliptic functions, Weierstrass elliptic function, triangle functions, hyperbolic functions and other type of functions for the generalized Hirota-Satsuma coupled KdV equation are derived.

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

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IS - 1-2

ER -

The improved F-expansion method and its applications

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