New Explicit Solitary Wave Solutions and Periodic Wave Solutions for the Generalized Coupled Hirota-Satsuma KdV System |
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| Authors: | CHEN Yong YAN Zhen-Ya LI Biao ZHANG Hong-Qing |
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| Affiliation: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In this paper, we study the generalized coupled Hirota Satsuma KdV system by using the new generalizedtransformation in homogeneous balance method. As a result, many explicit exact solutions, which contain new solitarywave solutions, periodic wave solutions, and the combined formal solitary wave solutions, and periodic wave solutions,are obtained. |
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| Keywords: | coupled Hirota Satsuma KdV system KP equation homogeneous balance method Riccati equa-tion solitary wave solution periodic wave solution |
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