New Exact Travelling Wave Solutions to Kundu Equation |
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| Authors: | HUANG Ding-Jiang LI De-Sheng ZHANG Hong-Qing |
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| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China Department of Mathematics, Shenyang Normal University, Shenyang 110034, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | Based on a first-order nonlinear ordinary differential equation with six-degree nonlinear term, we first present a new auxiliary equation expansion method and its algorithm. Being concise and straightforward, the method is applied to the Kundu equation. As a result, some new exact travelling wave solutions are obtained, which include bright and dark solitary wave solutions, triangular periodic wave solutions, and singular solutions. This algorithm can also be applied to other nonlinear evolution equations in mathematical physics. |
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| Keywords: | nonlinear evolution equation Kundu equation ordinary differential equation algorithm exact solution travelling wave solution |
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