Travelling wave solutions for a higher order wave equations of KdV type (I) |
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| Institution: | 1. UFPR – Federal University of Paraná, Postgraduate Program in Numerical Methods in Engineering. Curitiba, Paraná, Brazil;2. Institute of Technology for Development LACTEC, Civil Structures Department DPEC, Curitiba, Paraná, CEP: 81531-090. P. O. Box: 19067 Brazil;1. School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, PR China;2. Department of Mechanical Engineering, University of Minnesota-Twin Cities, 111 Church St. SE, Minneapolis, MN 55455, United States |
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| Abstract: | Using the method of planar dynamical systems to a higher order wave equations of KdV type, the existence of smooth solitary wave and uncountably infinite many smooth and non-smooth periodic wave solutions is proved. In different regions of the parametric plane, the sufficient conditions to guarantee the existence of the above solutions are given. |
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