文献类型：期刊文献

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

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：0

期号：6

起止页码：658

中文期刊名：理论物理通讯：英文版

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：CSTPCD、、Scopus、CSCD2019_2020、CSCD、PubMed

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

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

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

中文摘要：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 BogoyavlenskyKonopelchenko equation as particular examples, and the other has the same bilinear form with different Dp-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.

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.