The improved G'G-expansion method and its applications to the Broer-Kaup equations and approximate long water wave equations
作者： Shimin Guo , Yubin Zhou , Chenxia Zhao
DOI: 10.1016/J.AMC.2010.03.026
关键词: Shallow water equations 、 Rational function 、 Trigonometric functions 、 Mathematics 、 Hyperbolic function 、 Cnoidal wave 、 Inhomogeneous electromagnetic wave equation 、 Mathematical analysis 、 Independent equation 、 Simultaneous equations
摘要: By introducing a new general ansatze, the improved G^'G-expansion method is proposed to construct exact solutions of both Broer-Kaup equations and approximate long water wave equations. As result, some travelling involving parameters, expressed by three types functions which are hyperbolic functions, trigonometric rational obtained. When parameters taken as special values, solitary derived from function solutions. The straightforward, concise effective, can be applied other nonlinear evolution in mathematical physics.
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