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 Volume 6, Number 4, 2016, Pages 1073-1080                                                                DOI：10.11948/2016070 Solitary wave and chaotic behavior of traveling wave solutions for the coupled Schr$\ddot{o}$dinger-KdV equations Hong Li,Lilin Ma,Kanmin Wang Keywords:Coupled Schr$\ddot{o}$dinger-KdV equations, travelling wave solution, chaotic behavior of travelling wave, solitary wave solution, periodic wave solution. 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. PDF      Download reader