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 lump...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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos.11571008,51679132National Science Foundation under Grant No.DMS-1664561the Shanghai Science and Technology Committee under Grant No.17040501600
文摘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.