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Rational formal solutions of differential-difference equations |
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| Authors: | Yaxuan Yu Qi Wang Caixia Gao |
| Affiliation: | aDepartment of Mathematics, Ningbo University, Ningbo 315211, China bDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, China cKey Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China dDepartment of Mathematics, College of Science and Technology, Inner Mongolia University, Hohhot, 102021, China |
| Abstract: | In this paper, we study rational formal solutions of differential-difference equations by using a generalized ansätz. With the help of symbolic computation Maple, we obtain many explicit exact solutions of differential-difference equations(DDEs). The solutions contain solitary wave solutions and periodic wave solutions. The (2 + 1)-dimensional Toda lattice equation, relativistic Toda lattice equation and the discrete mKdV equation are chosen to illustrate our algorithm. |
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