Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation

Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
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DOI:
10.1007/s11464-018-0694-z
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发表时间:
2018-06-01
影响因子:
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通讯作者:
Ma, Wen-Xiu
Ma, Wen-Xiu
中科院分区:
数学4区
文献类型:
--
作者:
Chen, Shou-Ting;Ma, Wen-Xiu

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考虑具有Hirota双线性形式的(2+1)维广义Bogoyavlensky-Konopelchenko方程。从Hirota双线性形式出发,用Maple进行符号运算,计算了一类显式集总解,并绘制了几个具体的集总解的曲线图,以揭示块的特性。这一结果为具有集总解的(2+1)维非线性偏微分方程提供了一个新的例子。
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.