M-lump and interactive solutions to a (3 + 1)-dimensional nonlinear system

Yan Zhang; Yinping Liu; Xiaoyan Tang

doi:10.1007/s11071-018-4340-9

M-lump and interactive solutions to a (3 + 1)-dimensional nonlinear system

Yan Zhang
, Yinping Liu^*
, Xiaoyan Tang

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

60 Scopus citations

Abstract

This paper aims at computing M-lump solutions for the (3 + 1) -dimensional nonlinear evolution equation. These solutions in all directions decline to an identical state obtained by employing the “long wave” limit with respect to the N-soliton solutions which are got by using the direct methods. Subsequently, we discuss the dynamic properties of the M-lump solutions which describe the multiple collisions of lumps. Based on the obtained lump solutions, the lump–kink solutions are also obtained. In addition, the periodic interactive solutions are given.

Original language	English
Pages (from-to)	2533-2541
Number of pages	9
Journal	Nonlinear Dynamics
Volume	93
Issue number	4
DOIs	https://doi.org/10.1007/s11071-018-4340-9
State	Published - 1 Sep 2018

Keywords

(3 + 1)-dimensional nonlinear evolution equation
Interaction
Lump solution
Lump–kink solution

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10.1007/s11071-018-4340-9

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title = "M-lump and interactive solutions to a (3 + 1)-dimensional nonlinear system",

abstract = "This paper aims at computing M-lump solutions for the (3 + 1) -dimensional nonlinear evolution equation. These solutions in all directions decline to an identical state obtained by employing the “long wave” limit with respect to the N-soliton solutions which are got by using the direct methods. Subsequently, we discuss the dynamic properties of the M-lump solutions which describe the multiple collisions of lumps. Based on the obtained lump solutions, the lump–kink solutions are also obtained. In addition, the periodic interactive solutions are given.",

keywords = "(3 + 1)-dimensional nonlinear evolution equation, Interaction, Lump solution, Lump–kink solution",

author = "Yan Zhang and Yinping Liu and Xiaoyan Tang",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media B.V., part of Springer Nature.",

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AU - Zhang, Yan

AU - Liu, Yinping

AU - Tang, Xiaoyan

PY - 2018/9/1

Y1 - 2018/9/1

N2 - This paper aims at computing M-lump solutions for the (3 + 1) -dimensional nonlinear evolution equation. These solutions in all directions decline to an identical state obtained by employing the “long wave” limit with respect to the N-soliton solutions which are got by using the direct methods. Subsequently, we discuss the dynamic properties of the M-lump solutions which describe the multiple collisions of lumps. Based on the obtained lump solutions, the lump–kink solutions are also obtained. In addition, the periodic interactive solutions are given.

AB - This paper aims at computing M-lump solutions for the (3 + 1) -dimensional nonlinear evolution equation. These solutions in all directions decline to an identical state obtained by employing the “long wave” limit with respect to the N-soliton solutions which are got by using the direct methods. Subsequently, we discuss the dynamic properties of the M-lump solutions which describe the multiple collisions of lumps. Based on the obtained lump solutions, the lump–kink solutions are also obtained. In addition, the periodic interactive solutions are given.

KW - (3 + 1)-dimensional nonlinear evolution equation

KW - Interaction

KW - Lump solution

KW - Lump–kink solution

UR - https://www.scopus.com/pages/publications/85047162091

U2 - 10.1007/s11071-018-4340-9

DO - 10.1007/s11071-018-4340-9

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SN - 0924-090X

VL - 93

SP - 2533

EP - 2541

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

M-lump and interactive solutions to a (3 + 1)-dimensional nonlinear system

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Keywords

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