文献类型：期刊文献

英文题名：Characteristics and interactions of solitary and lump waves of a (2+1)-dimensional coupled nonlinear partial differential equation

作者：Ren, Bo[1];Ma, Wen-Xiu[2,3,4,5,6];Yu, Jun[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA;[3]Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China;[4]King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia;[5]Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China;[6]North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

年份：2019

卷号：96

期号：1

起止页码：717

外文期刊名：NONLINEAR DYNAMICS

收录：SCI-EXPANDED(收录号：WOS:000465632600048)、、EI(收录号：20190806534608)、Scopus(收录号：2-s2.0-85061735500)、WOS

基金：This work is supported by the National Natural Science Foundation of China No. 11775146 and NFS Grant DMS-1664561.

语种：英文

外文关键词：Nonlinear partial differential equation; Hirota bilinear form; Solitary wave; Lump wave; Interaction solution

外文摘要：A (2 + 1)-dimensional coupled nonlinear partial equation which possesses a Hirota bilinear form is introduced. Based on the Hirota bilinear form, two solitary waves are constructed. In the meanwhile, lump waves are derived by using a positive quadratic function. By combining an exponential function with a quadratic function, interaction solutions between a lump and a one-kink soliton, and between a bi-lump and a one-soliton solution are generated. Some special concrete interaction solutions are depicted in both analytical and graphical ways.