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Solitary wave and chaotic behavior of traveling wave solutions for the coupled Schr$\ddot{o}$dinger-KdV equations |
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| Authors: | Hong Li Lilin Ma and Kanmin Wang |
| Institution: | Department of Mathematics, Jiujiang University, Jiujiang 332005, China,Information Technology Center,Jiujiang University, Jiujiang 332005, China and Department of Mathematics, Jiujiang University, Jiujiang 332005, China |
| Abstract: | This paper deals with the coupled Schr$\ddot{o}$dinger-KdV equations by making use of the method of dynamical systems. We obtain some exact explicit parametric representations of the solitary wave and periodic wave solutions in the given parameter regions, and study chaotic behavior of travelling wave solutions. |
| Keywords: | Coupled Schr$\ddot{o}$dinger-KdV equations travelling wave solution chaotic behavior of travelling wave solitary wave solution periodic wave solution |
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