Frontiers of Mathematics in China >
Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
Received date: 24 Jan 2018
Accepted date: 08 Mar 2018
Published date: 11 Jun 2018
Copyright
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.
Key words： Symbolic computation; lump solution; soliton theory
Shou-Ting CHEN , Wen-Xiu MA . Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation[J]. Frontiers of Mathematics in China, 2018 , 13(3) : 525 -534 . DOI: 10.1007/s11464-018-0694-z
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