摘要
By means of the Hirota bilinear method and symbolic computation, high-order lump-type solutions and a kind of interaction solutions are presented for a(3+1)-dimensional nonlinear evolution equation.The high-order lumptype solutions of the associated Hirota bilinear equation are presented, which is a kind of positive quartic-quadraticfunction solution.At the same time, the interaction solutions can also be obtained, which are linear combination solutions of quartic-quadratic-functions and hyperbolic cosine functions.Physical properties and dynamical structures of two classes of the presented solutions are demonstrated in detail by their graphs.
作者
Tao Fang
Hui Wang
Yun-Hu Wang
Wen-Xiu Ma
方涛;王惠;王云虎;马文秀(College of Art and Sciences, Shanghai Maritime University, Shanghai 201306, China;Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA;Department of Mathematics and Information Technology, The Education University of Hong Kong, Hong Kong, China;Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, China;Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa)
基金
Supported by the National Natural Science Foundation of China under Grant Nos.11571008,51679132
National Science Foundation under Grant No.DMS-1664561
the Shanghai Science and Technology Committee under Grant No.17040501600
