Travelling Wave Solutions for Konopelchenko-Dubrovsky Equation
Using an Extended sinh-Gordon Equation Expansion Method |
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Authors: | YANG Xian-Lin TANG Jia-Shi |
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Institution: | 1. College of Mechanics and Aerospace, Hunan University, Changsha 410082, China
;2. Hunan Radio and Television University, Changsha 410004, China |
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Abstract: | The sinh-Gordon equation expansion method is further extended by generalizing the sinh-Gordon equation and constructing new ansatz solution of the considered equation. As its application, the (2+1)-dimensional Konopelchenko-Dubrovsky equation is investigated and abundant exact travelling wave solutions are explicitly obtained including
solitary wave solutions, trigonometric function solutions and Jacobi
elliptic doubly periodic function solutions, some of which are new exact
solutions that we have never seen before within our knowledge. The method can be applied to other nonlinear evolution equations in mathematical physics. |
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Keywords: | extended sinh-Gordon equation expansion method exact solutions nonlinear evolution equations Konopelchenko-Dubrovsky equation |
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