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Rational Form Solitary Wave Solutions and Doubly Periodic Wave Solutions to(1+1)-Dimensional Dispersive Long Wave Equation |
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| Authors: | WANG Qi CHEN Yong ZHANG Hong-Qing |
| Affiliation: | 1. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;2. Department of Mathematics, Ningbo University, Ningbo 315211, China;3. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China |
| Abstract: | In this work we devise an algebraic method to uniformly construct rational form solitary wave solutions and Jacobi and Weierstrass doubly periodic wave solutions of physical interest for nonlinear evolution equations.With the aid of symbolic computation, we apply the proposed methodto solving the (1+1)-dimensional dispersive long wave equation andexplicitly construct a series of exact solutions which include therational form solitary wave solutions and elliptic doubly periodic wave solutions as special cases. |
| Keywords: | elliptic equation rational expansion method rational form solitary wave solutions rational form Jacobi and Weierstrass doubly periodic wave solutions |
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