The extended tanh method for solving systems of nonlinear wave equations

Sami Shukri; Kamel Al-Khaled

doi:10.1016/j.amc.2010.06.058

The extended tanh method for solving systems of nonlinear wave equations

Sami Shukri^*, Kamel Al-Khaled

^*Corresponding author for this work

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

36 Citations (Scopus)

Abstract

The extended tanh method with a computerized symbolic computation is used for constructing the traveling wave solutions of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. The applied method will be used to solve the generalized coupled Hirota Satsuma KdV equation.

Original language	English
Pages (from-to)	1997-2006
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	217
Issue number	5
DOIs	https://doi.org/10.1016/j.amc.2010.06.058
Publication status	Published - Nov 1 2010
Externally published	Yes

Keywords

Nonlinear wave equations
Soliton solutions
The extended tanh method
The generalized coupled Hirota Satsuma KdV equation

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2010.06.058

Cite this

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title = "The extended tanh method for solving systems of nonlinear wave equations",

abstract = "The extended tanh method with a computerized symbolic computation is used for constructing the traveling wave solutions of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. The applied method will be used to solve the generalized coupled Hirota Satsuma KdV equation.",

keywords = "Nonlinear wave equations, Soliton solutions, The extended tanh method, The generalized coupled Hirota Satsuma KdV equation",

author = "Sami Shukri and Kamel Al-Khaled",

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AU - Al-Khaled, Kamel

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N2 - The extended tanh method with a computerized symbolic computation is used for constructing the traveling wave solutions of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. The applied method will be used to solve the generalized coupled Hirota Satsuma KdV equation.

AB - The extended tanh method with a computerized symbolic computation is used for constructing the traveling wave solutions of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. The applied method will be used to solve the generalized coupled Hirota Satsuma KdV equation.

KW - Nonlinear wave equations

KW - Soliton solutions

KW - The extended tanh method

KW - The generalized coupled Hirota Satsuma KdV equation

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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ER -

The extended tanh method for solving systems of nonlinear wave equations

Abstract

Keywords

ASJC Scopus subject areas

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