The modified extended tanh-function method for solving Burgers-type equations

By means of the modified extended tanh-function (METF) method the multiple travelling wave solutions of some different kinds of nonlinear partial differential equations are presented and implemented in a computer algebraic system. Solutions for the nonlinear equations such as one-dimensional Burgers...

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Bibliographic Details
Published inPhysica A Vol. 361; no. 2; pp. 394 - 404
Main Author Soliman, A.A.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2006
Subjects
Burgers’ equation
Coupled Burgers’ equations
KdV–Burgers’ equation
The METF method
Two-dimensional Burgers’ equations
The METF method
Burgers’ equation
Two-dimensional Burgers’ equations
Coupled Burgers’ equations
KdV–Burgers’ equation
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Summary:By means of the modified extended tanh-function (METF) method the multiple travelling wave solutions of some different kinds of nonlinear partial differential equations are presented and implemented in a computer algebraic system. Solutions for the nonlinear equations such as one-dimensional Burgers, KDV–Burgers, coupled Burgers and two-dimensional Burgers’ equations are obtained precisely and so the efficiency of the method can be demonstrated.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2005.07.008