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Exact travelling wave solutions of the dissipative coupled Korteweg-de Vries equation |
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| Authors: | Liu Qiang Zhang Weiguo |
| Institution: | a School of Science, University of Shanghai for Science and Technology, Shanghai 200093, P.R. China b Department of Mathematics and Information Science, The College of Zhengzhou Light Industry, Zhengzhou Henan 450002, P.R. China |
| Abstract: | This paper employs the theory of planar dynamical systems and undetermined coefficient method to study travelling wave solutions of the dissipative coupled Korteweg-de Vries equation. The possible kink profile solitary wave solutions and approximate damped oscillatory solutions of the equation are obtained by using undetermined coefficient method. Error estimates indicate that the approximate solutions are meaningful. |
| Keywords: | The dissipative coupled Korteweg-de Vries equation Global phase portrait Solitary wave solution Damped oscillatory solution Error estimate Heteroclinic orbit |
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