Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation  

作　　者：Shou-Ting CHEN Wen-Xiu MA 

机构地区：[1]School of Mathematics and Physical Science, Xuzhou Institute of Technology, Xuzhou 221008, China [2]Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620 USA [3]College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China [4]International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa

出　　处：《Frontiers of Mathematics in China》2018年第3期525-534,共10页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements The work was supported in part by the National Natural Science Foundation of China （Grant Nos. 11301454, 11301331, 11371086, 11571079, 51771083）, the NSF under the grant DMS-1664561, the Jiangsu Qing Lan Project for Excellent Young Teachers in University （2014）, the Six Talent Peaks Project in Jiangsu Province （2016-JY-081）, the Natural Science Foundation for Colleges and Universities in Jiangsu Province （17KJB110020）, the Natural Science Foundation of Jiangsu Province （Grant No. BK20151160）, the Emphasis Foundation of Special Science Research on Subject Frontiers of CUMT under Grant No. 2017XKZDll, and the Distinguished Professorships by Shanghai University of Electric Power and Shanghai Polytechnic University.

摘　　要：A （2 ＋ 1）-dimensional generalized Bogoyavlensky-Konopelchenko equation that possesses a Hirota bilinear form is considered. Starting with its Hirota bilinear form, a class of explicit lump solutions is computed through conducting symbolic computations with Maple, and a few plots of a specific presented lump solution are made to shed light on the characteristics of lumps. The result provides a new example of （2 ＋ 1）-dimensional nonlinear partial differential equations which possess lump solutions.A （2 ＋ 1）-dimensional generalized Bogoyavlensky-Konopelchenko equation that possesses a Hirota bilinear form is considered. Starting with its Hirota bilinear form, a class of explicit lump solutions is computed through conducting symbolic computations with Maple, and a few plots of a specific presented lump solution are made to shed light on the characteristics of lumps. The result provides a new example of （2 ＋ 1）-dimensional nonlinear partial differential equations which possess lump solutions.

关 键 词：Symbolic computation lump solution soliton theory 

分 类 号：O175.1[理学—数学] O211.61[理学—基础数学]