The superposition method in seeking the solitary wave solutions to the KdV-Burgers equation |
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| Authors: | Yuanxi Xie Jiashi Tang |
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| Institution: | (1) Department of Engineering Mechanics, Hunan University, 410 082 Changsha, China |
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| Abstract: | In this paper, starting from the careful analysis on the characteristics of the Burgers equation and the KdV equation as well
as the KdV-Burgers equation, the superposition method is put forward for constructing the solitary wave solutions of the KdV-Burgers
equation from those of the Burgers equation and the KdV equation. The solitary wave solutions for the KdV-Burgers equation
are presented successfully by means of this method. |
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| Keywords: | KdV-Burgers equation superposition method solitary wave solution |
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