Novel soliton molecules and wave interactions for a (3 + 1)-dimensional nonlinear evolution equation

Xiao yan Tang; Chao jie Cui; Zu feng Liang; Wei Ding

doi:10.1007/s11071-021-06687-7

Novel soliton molecules and wave interactions for a (3 + 1)-dimensional nonlinear evolution equation

Xiao yan Tang^*
, Chao jie Cui
, Zu feng Liang^*
, Wei Ding

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

15 引用（Scopus）

摘要

New wave excitations are revealed for a (3 + 1)-dimensional nonlinear evolution equation to enrich nonlinear wave patterns in nonlinear systems. Based on a new variable separation solution with two arbitrary variable separated functions obtained by means of the multilinear variable separation approach, localized excitations of N dromions, N× M lump lattice and ring soliton lattice are constructed. In addition, it is observed that soliton molecules can be composed of diverse “atoms” such as the dromions, lumps and ring solitons, respectively. Elastic interactions between solitons and soliton molecules are graphically demonstrated.

源语言	英语
页（从-至）	2549-2557
页数	9
期刊	Nonlinear Dynamics
卷	105
期	3
DOI	https://doi.org/10.1007/s11071-021-06687-7
出版状态	已出版 - 8月 2021

访问文件

10.1007/s11071-021-06687-7

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{576a7837727845669d9e1f5dbcfa10a1,

title = "Novel soliton molecules and wave interactions for a (3 + 1)-dimensional nonlinear evolution equation",

abstract = "New wave excitations are revealed for a (3 + 1)-dimensional nonlinear evolution equation to enrich nonlinear wave patterns in nonlinear systems. Based on a new variable separation solution with two arbitrary variable separated functions obtained by means of the multilinear variable separation approach, localized excitations of N dromions, N× M lump lattice and ring soliton lattice are constructed. In addition, it is observed that soliton molecules can be composed of diverse “atoms” such as the dromions, lumps and ring solitons, respectively. Elastic interactions between solitons and soliton molecules are graphically demonstrated.",

keywords = "Dromion, Lump, Ring soliton, Soliton molecule",

author = "Tang, \{Xiao yan\} and Cui, \{Chao jie\} and Liang, \{Zu feng\} and Wei Ding",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature B.V.",

year = "2021",

month = aug,

doi = "10.1007/s11071-021-06687-7",

language = "英语",

volume = "105",

pages = "2549--2557",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Novel soliton molecules and wave interactions for a (3 + 1)-dimensional nonlinear evolution equation

AU - Tang, Xiao yan

AU - Cui, Chao jie

AU - Liang, Zu feng

AU - Ding, Wei

PY - 2021/8

Y1 - 2021/8

N2 - New wave excitations are revealed for a (3 + 1)-dimensional nonlinear evolution equation to enrich nonlinear wave patterns in nonlinear systems. Based on a new variable separation solution with two arbitrary variable separated functions obtained by means of the multilinear variable separation approach, localized excitations of N dromions, N× M lump lattice and ring soliton lattice are constructed. In addition, it is observed that soliton molecules can be composed of diverse “atoms” such as the dromions, lumps and ring solitons, respectively. Elastic interactions between solitons and soliton molecules are graphically demonstrated.

AB - New wave excitations are revealed for a (3 + 1)-dimensional nonlinear evolution equation to enrich nonlinear wave patterns in nonlinear systems. Based on a new variable separation solution with two arbitrary variable separated functions obtained by means of the multilinear variable separation approach, localized excitations of N dromions, N× M lump lattice and ring soliton lattice are constructed. In addition, it is observed that soliton molecules can be composed of diverse “atoms” such as the dromions, lumps and ring solitons, respectively. Elastic interactions between solitons and soliton molecules are graphically demonstrated.

KW - Dromion

KW - Lump

KW - Ring soliton

KW - Soliton molecule

UR - https://www.scopus.com/pages/publications/85111136659

U2 - 10.1007/s11071-021-06687-7

DO - 10.1007/s11071-021-06687-7

M3 - 文章

AN - SCOPUS:85111136659

SN - 0924-090X

VL - 105

SP - 2549

EP - 2557

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 3

ER -

Novel soliton molecules and wave interactions for a (3 + 1)-dimensional nonlinear evolution equation

摘要

访问文件

其它文件与链接

指纹

引用此