Travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation |
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| Authors: | DENG ShengFu GUO BoLing & WANG TingChun |
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| Institution: | DENG ShengFu1,GUO BoLing2 & WANG TingChun2,3 1Department of Mathematics,Zhanjiang Normal University,Zhanjiang 524048,China,2Institute of Applied Physics and Computational Mathematics,Beijing 100088,3 College of Math and Physics,Nanjing University of Information Science and Technology,Nanjing 210044 |
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| Abstract: | The travelling wave solutions of a generalized Camassa-Holm-Degasperis-Procesi equation ut-uxxt + (1 + b)umux = buxuxx + uuxxx are considered where b > 1 and m are positive integers. The qualitative analysis methods of planar autonomous systems yield its phase portraits. Its soliton wave solutions, kink or antikink wave solutions, peakon wave solutions, compacton wave solutions, periodic wave solutions and periodic cusp wave solutions are obtained. Some numerical simulations of these solutions are also give... |
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| Keywords: | homoclinic orbits heteroclinic orbits peakon wave solutions compacton wave solutions periodic cusp wave solutions |
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