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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English
Pages (from-to)	2549-2557
Number of pages	9
Journal	Nonlinear Dynamics
Volume	105
Issue number	3
DOIs	https://doi.org/10.1007/s11071-021-06687-7
State	Published - Aug 2021

Keywords

Dromion
Lump
Ring soliton
Soliton molecule

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10.1007/s11071-021-06687-7

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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",

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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

Abstract

Keywords

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