Multi-soliton fusion phenomenon of Burgers equation and fission, fusion phenomenon of Sharma-Tasso-Olver equation

查看全文 作　　者：Harun Or-[1]Roshid;[2,3]M.M.Rashidi 机构地区：[1]Department of Mathematics,Pabna University of Science and Technology,Pabna 6600,Bangladesh;[2]Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems,Tongji University,4800 Cao An Rd.,Jiading,Shanghai 201804,China;[3]ENN-Tongji Clean Energy Institute of Advanced Studies,China 出　　处：《Journal of Ocean Engineering and Science》索引2017年第2卷第2期,共7页 摘　　要：A direct rational exponential scheme is proposed to construct exact multi-soliton solutions and its fission,fusion phenomena after interaction of the solitons has been discussed.We have considered the Burgers and Sharma-Tasso-Olver equation as two concrete examples to show the fission and fusion of the solitary wave and the solitons,respectively.We improve different structured multi-soliton solutions with possible conditions for fission and fusion of the Burgers and the Sharma-Tasso-Olver equations arises in plasma physics and in ocean dynamics.The amplitude and velocity relations between solitons and/or solitary waves before and after interactions are given and a possible condition for fission and fusion is proposed.Furthermore,three-dimensional plots of the wave solutions are given to visualize the dynamics of the model.©2017 Shanghai Jiaotong University.Published by Elsevier B.V. 关 键 词：Direct rational exponential scheme Burger equation Sharma-Tasso-Olver equation Traveling wave solutions Multi-soliton