General high-order breather, lump, and semi-rational solutions to the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation

被引：4
|
作者：
Zhou, Xin-Mei
Tian, Shou-Fu [1 ]
Zhang, Ling-Di
Zhang, Tian-Tian [1 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2021年 / 35卷 / 03期
基金：
中国国家自然科学基金;
关键词：
The (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation; high-order breather solutions; high-order lump solutions; semi-rational solutions; LIE SYMMETRY ANALYSIS; CONSERVATION-LAWS; WAVE SOLUTIONS; ROGUE WAVES; TRANSFORMATIONS;
D O I：
10.1142/S0217984921500573
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this work, we investigate the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko (gBK) equation. Based on its bilinear form, the Nth-order breather solutions of the gBK equation are successful given by taking appropriate parameters. Furthermore, the Nth-order lump solutions of the gBK equation are obtained via the long-wave limit method. In addition, the semi-rational solutions are generated to reveal the interaction between lump solutions, soliton solutions, and breather solutions.
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页数：12
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