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 thr...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.展开更多
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.
文摘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.
