Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation

被引:0
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作者
Shou-Ting Chen
Wen-Xiu Ma
机构
[1] Xuzhou Institute of Technology,School of Mathematics and Physical Science
[2] University of South Florida,Department of Mathematics and Statistics
[3] Shandong University of Science and Technology,College of Mathematics and Systems Science
[4] North-West University,International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences
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关键词
Symbolic computation; lump solution; soliton theory; 35Q51; 35Q53; 37K40;
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学科分类号
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 specicpresented 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.
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页码:525 / 534
页数:9
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