An extended simplest equation method and its application to several forms of the fifth-order KdV equation |
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| Authors: | Sudao Bilige Temuer Chaolu |
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| Affiliation: | a College of Sciences, Inner Mongolia University of Technology, Hohhote 010051, China
b Department of Mathematics, Shanghai Maritime University, Shanghai 200135, China |
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| Abstract: | In this paper, an extended simplest equation method is proposed to seek exact travelling wave solutions of nonlinear evolution equations. As applications, many new exact travelling wave solutions for several forms of the fifth-order KdV equation are obtained by using our method. The forms include the Lax, Sawada-Kotera, Sawada-Kotera-Parker-Dye, Caudrey-Dodd-Gibbon, Kaup-Kupershmidt, Kaup-Kupershmidt-Parker-Dye, and the Ito forms. |
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| Keywords: | The extended simplest equation method The travelling wave solutions The fifth-order KdV equation |
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