文献类型：期刊文献

英文题名：Rational solutions and their interaction solutions of the (2+1)-dimensional modified dispersive water wave equation

作者：Ren, Bo[1,2];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]Shanghai Univ Elect Power, Coll Math & Phys, Shanghai 200090, Peoples R China;[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：77

期号：8

起止页码：2086

外文期刊名：COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000463303000005)、、EI(收录号：20185106259932)、Scopus(收录号：2-s2.0-85058406543)、WOS

基金：The authors acknowledge the financial support by the National Natural Science Foundation of China Nos. 11775146 and 11472177, and the NSF grant DMS-1664561 (United States).

语种：英文

外文关键词：Modified dispersive water wave equation; Quartic-linear form; Lump solution; Interaction solution

外文摘要：A bilinear form for the modified dispersive water wave (mDWW) equation is presented by the truncated Painleve series, which does not lead to lump solutions. In order to get lump solutions, a pair of quartic-linear forms for the mDWW equation is constructed by selecting a suitable seed solution of the mDWW equation in the truncated Painleve series. Rational solutions are then computed by searching for positive quadratic function solutions. A regular nonsingular rational solution can describe a lump in this model. By combining quadratic functions with exponential functions, some novel interaction solutions are founded, including interaction solutions between a lump and a one-kink soliton, a bi-lump and a one-stripe soliton, and a bi-lump and a two-stripe soliton. Concrete lumps and their interaction solutions are illustrated by 3d-plots and contour plots. (C) 2018 Elsevier Ltd. All rights reserved.