文献类型：期刊文献

英文题名：Lump Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations

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, Zhejiang, 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, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

年份：2019

卷号：71

期号：6

起止页码：658

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000471988700005)、、Scopus(收录号：2-s2.0-85070601340)、WOS

基金：Supported by the National Natural Science Foundation of China under Grant Nos. 11775146 and 11472177; and National Science Foundation under Grant No. DMS-1664561

语种：英文

外文关键词：generalized Calogero-Bogoyavlenskii-Schiff equation; generalized Bogoyavlensky-Konopelchenko equation; Hirota bilinear; Lump solution

外文摘要：Based on the Hirota bilinear operators and their generalized bilinear derivatives, we formulate two new (2+1)-dimensional nonlinear partial differential equations, which possess lumps. One of the new nonlinear differential equations includes the generalized Calogero-Bogoyavlenskii-Schiff equation and the generalized Bogoyavlensky-Konopelchenko equation as particular examples, and the other has the same bilinear form with different D-p-operators. A class explicit lump solutions of the new nonlinear differential equation is constructed by using the Hirota bilinear approaches. A specific case of the presented lump solution is plotted to shed light on the charateristics of the lump.