Degenerate lump wave solutions of the Mel’nikov equation

Xiangyu Yang; Zhao Zhang; Zhen Wang

doi:10.1007/s11071-022-07874-w

Degenerate lump wave solutions of the Mel’nikov equation

Xiangyu Yang
, Zhao Zhang
, Zhen Wang^*

^*此作品的通讯作者

Dalian University of Technology
South China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

21 引用（Scopus）

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.

源语言	英语
页（从-至）	1553-1563
页数	11
期刊	Nonlinear Dynamics
卷	111
期	2
DOI	https://doi.org/10.1007/s11071-022-07874-w
出版状态	已出版 - 1月 2023
已对外发布	是

访问文件

10.1007/s11071-022-07874-w

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{fa388f5046544946a43e8edad09e9a45,

title = "Degenerate lump wave solutions of the Mel{\textquoteright}nikov equation",

abstract = "The anomalous scattering of lump waves within the framework of the Mel{\textquoteright}nikov equation is considered via Hirota{\textquoteright}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.",

keywords = "Anomalous scattering, Degenerate solution, Lump waves, Mel{\textquoteright}nikov equation",

author = "Xiangyu Yang and Zhao Zhang and Zhen Wang",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature B.V.",

year = "2023",

month = jan,

doi = "10.1007/s11071-022-07874-w",

language = "英语",

volume = "111",

pages = "1553--1563",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Degenerate lump wave solutions of the Mel’nikov equation

AU - Yang, Xiangyu

AU - Zhang, Zhao

AU - Wang, Zhen

PY - 2023/1

Y1 - 2023/1

N2 - 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.

AB - 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.

KW - Anomalous scattering

KW - Degenerate solution

KW - Lump waves

KW - Mel’nikov equation

UR - https://www.scopus.com/pages/publications/85138143073

U2 - 10.1007/s11071-022-07874-w

DO - 10.1007/s11071-022-07874-w

M3 - 文章

AN - SCOPUS:85138143073

SN - 0924-090X

VL - 111

SP - 1553

EP - 1563

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 2

ER -

Degenerate lump wave solutions of the Mel’nikov equation

摘要

访问文件

其它文件与链接

指纹

引用此