Degenerate lump wave solutions of the Mel'nikov equation

被引：18
作者：
Yang, Xiangyu [1 ]
Zhang, Zhao [2 ]
Wang, Zhen [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] South China Normal Univ, Guangdong Prov Key Lab Nanophoton Funct Mat & Dev, Guangzhou 510631, Peoples R China
来源：
NONLINEAR DYNAMICS | 2023年 / 111卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Lump waves; Degenerate solution; Anomalous scattering; Mel'nikov equation;
D O I：
10.1007/s11071-022-07874-w
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The anomalous scattering of lump waves within the framework of the Mel'nikov equation is considered via Hirota's bilinear method and further limits. The anomalous scattering phenomena of two lumps are studied in detail, asymptotic behavior of anomalous scattering lumps is discussed. Furthermore, several interesting patterns of high-order degenerate lumps are observed, including triangular and quadrangular peak locations. These exotic structures may enrich our understanding of the nature of lump waves.
引用
收藏
页码：1553 / 1563
页数：11
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