Traveling wave solutions for shallow water wave equation by ( G ′ G ) - expansion method
نویسندگان
چکیده
This paper presents a new function expansion method for finding traveling wave solution of a non-linear equation and calls it the ( G′ G ) -expansion method. The shallow water wave equation is reduced to a non linear ordinary differential equation by using a simple transformation. As a result the traveling wave solutions of shallow water wave equation are expressed in three forms: hyperbolic solutions, trigonometric solutions and rational solutions. Keywords—Shallow water wave equation, Exact solutions, ( G′ G ) expansion method.
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