New Types of Travelling Wave Solutions From (2+1)-Dimensional Davey-Stewartson Equation |
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| Authors: | ZHAO Hong |
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| Affiliation: | School of Physical Science and Information Engineering,Liaocheng University,Liaocheng 252059,china |
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| Abstract: | In this paper, based on new auxiliary nonlinear ordinary differential equation with a sixth-degree nonlinear term, we study the (2 1)-dimensional Davey-Stewartson equation and new types of travelling wave solutions are obtained, which include new bell and kink profile solitary wave solutions, triangular periodic wave solutions, and singular solutions. The method used here can be also extended to many other nonlinear partial differential equations. |
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| Keywords: | new auxiliary nonlinear ordinary differential equation (2 1)-dimensional Davey-Stewartson equation solitary wave solutions triangular periodic wave solutions |
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