A Generalized Extended F-Expansion Method and Its Application in (2+1)-Dimensional Dispersive Long Wave Equation |
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| Authors: | HUANG Wen-Hua |
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| Affiliation: | Department of Physics, College of Science, Huzhou University, Huzhou 313000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | A new generalized extended F-expansion method is presented for finding periodic wave solutions of nonlinear evolution equations in mathematical physics. As an application of this method, we study the (2 1)-dimensional dispersive long wave equation. With the aid of computerized symbolic computation, a number of doubly periodic wave solutions expressed by various Jacobi elliptic functions are obtained. In the limit cases, the solitary wave solutions are derived as well. |
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| Keywords: | (2 1)-dimensional dispersive long wave equation extended F-expansion Jacobi elliptic function periodic wave solution |
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