Lump-type solutions and interaction phenomenon to the (2+1)-dimensional Breaking Soliton equation

作者：

Highlights：

• The Hirota bilinear method is successfully employed and acquired a kind of lump solution and three classes of interaction solutions.

• A new combination of positive quadratic functions, trigonometric functions, and hyperbolic functions are given.

• All solutions have been verified back into its corresponding equation with the aid of maple package program.

• The physical explanation of the extracted solutions with the free choice of the different parameters by plotting some 3D and 2D Illustrations have been investigated.

摘要

•The exact soliton wave solutions for the Kadomtsev–Petviashvili (KP) like equation, based on the Hirota bilinear method, with the help of symbolic computation package maple, have been presented.•The Hirota bilinear method is successfully employed and acquired a kind of lump solution and three classes of interaction solutions.•A new combination of positive quadratic functions, trigonometric functions, and hyperbolic functions are given.•All solutions have been verified back into its corresponding equation with the aid of maple package program.•The physical explanation of the extracted solutions with the free choice of the different parameters by plotting some 3D and 2D Illustrations have been investigated.

论文关键词：Hirota bilinear method,Interaction between lump soliton and solitary wave,Interaction between lump soliton and periodic wave,Breather-type periodic soliton,Periodic kink-wave,Kink-soliton wave

论文评审过程：Received 25 July 2018, Revised 15 February 2019, Accepted 4 March 2019, Available online 23 March 2019, Version of Record 23 March 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.03.016