Travelling wave solutions to nonlinear physical models by means of the first integral method
نویسندگان
چکیده
منابع مشابه
Solitary Wave solutions of the BK equation and ALWW system by using the first integral method
Solitary wave solutions to the Broer-Kaup equations and approximate long water wave equations are considered challenging by using the rst integral method.The exact solutions obtained during the present investigation are new. This method can be applied to nonintegrable equations as well as to integrable ones.
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In this paper, we investigate the first integral method for solving the generalized Benjamin-BonaMahony (BBM) equation. This idea can obtain some exact solutions of this equations based on the theory of Commutative algebra.
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In this paper, based on the known first integral method, we try to seek the traveling wave solutions of several nonlinear evolution equations. As a result, some exact travelig wave solutions and solitary solutions for Whitham-Broer-Kaup (WBK) equations, Gardner equation, Boussinesq-Burgers equations, nonlinear schrodinger equation and mKDV equation are established successfully. Key–Words: First...
متن کاملsolitary wave solutions of the bk equation and alww system by using the first integral method
solitary wave solutions to the broer-kaup equations and approximate long water wave equa-tions are considered challenging by using the rst integral method.the exact solutions obtainedduring the present investigation are new. this method can be applied to nonintegrable equa-tions as well as to integrable ones.
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Various extensions of the tanh-function method and their implementations for finding explicit travelling wave solutions to nonlinear partial differential equations (PDEs) have been reported in the literature. However, some solutions are often missed by these packages. In this paper, a new algorithm and its implementation called TWS for solving single nonlinear PDEs are presented. TWS is impleme...
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ژورنال
عنوان ژورنال: Pramana
سال: 2011
ISSN: 0304-4289,0973-7111
DOI: 10.1007/s12043-011-0062-y