Traveling Wave Solutions For The Sawada - Kotera - Kadomtsev - Petviashivili Equation And The Bogoyavlensky - Konoplechenko Equation By ( G ′ G ) - Expansion
نویسنده
چکیده
This paper presents a new function expansion method for finding traveling wave solutions of a nonlinear equations and calls it the ( G′ G ) -expansion method, given by Wang et al recently. As an application of this new method, we study the well-known Sawada-Kotera-Kadomtsev-Petviashivili equation and Bogoyavlensky-Konoplechenko equation. With two new expansions, general types of soliton solutions and periodic solutions for these two equations are obtained. Keywords—Sawada-Kotera-Kadomtsev-Petviashivili equation, Bogoyavlensky-Konoplechenko equation, ( G′ G ) -expansion method, Exact solutions.
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