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

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

60 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	2533-2541
页数	9
期刊	Nonlinear Dynamics
卷	93
期	4
DOI	https://doi.org/10.1007/s11071-018-4340-9
出版状态	已出版 - 1 9月 2018

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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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T1 - M-lump and interactive solutions to a (3 + 1)-dimensional nonlinear system

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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