A new auxiliary equation method for finding travelling wave solutions to KdV equation |
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| Authors: | Jing Pang Chun-quan Bian Lu Chao |
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| Institution: | 1. College of Science,Inner Mongolia University of Technology,Hohhot 010051,P.R.China
2. Department of Mathematics,Shanghai Maritime University,Shanghai 200315,P.R.China |
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| Abstract: | In this paper, a new auxiliary equation method is used to find exact travelling wave solutions to the (1+1)-dimensional KdV equation. Some exact travelling wave solutions with parameters have been obtained, which cover the existing solutions. Compared to other methods, the presented method is more direct, more concise, more effective, and easier for calculations. In addition, it can be used to solve other nonlinear evolution equations in mathematical physics. |
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| Keywords: | auxiliary equation method travelling wave solution KdV equation homogeneous balance method |
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