Lump soliton, mixed lump stripe and periodic lump solutions of a (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation

Zhonglong Zhao; Yong Chen; Bo Han

doi:10.1142/S0217984917501573

Lump soliton, mixed lump stripe and periodic lump solutions of a (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation

Zhonglong Zhao^*
, Yong Chen
, Bo Han

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

110 Scopus citations

Abstract

The lump soliton solutions of a (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation are obtained by making use of its bilinear form. We discuss the conditions to guarantee the analyticity, positiveness and localization of lump solutions. The solutions of interaction between a lump and a stripe are presented. It is proved that the interaction between the two solitary waves is non-elastic. The three-wave method is employed to investigate the periodic lump solutions. Figures are presented to illustrate the dynamical features of these solutions.

Original language	English
Article number	1750157
Journal	Modern Physics Letters B
Volume	31
Issue number	14
DOIs	https://doi.org/10.1142/S0217984917501573
State	Published - 20 May 2017

Keywords

(2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation
lump soliton
mixed lump stripe solutions
periodic lump solutions

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10.1142/S0217984917501573

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title = "Lump soliton, mixed lump stripe and periodic lump solutions of a (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation",

abstract = "The lump soliton solutions of a (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation are obtained by making use of its bilinear form. We discuss the conditions to guarantee the analyticity, positiveness and localization of lump solutions. The solutions of interaction between a lump and a stripe are presented. It is proved that the interaction between the two solitary waves is non-elastic. The three-wave method is employed to investigate the periodic lump solutions. Figures are presented to illustrate the dynamical features of these solutions.",

keywords = "(2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation, lump soliton, mixed lump stripe solutions, periodic lump solutions",

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AU - Zhao, Zhonglong

AU - Chen, Yong

AU - Han, Bo

PY - 2017/5/20

Y1 - 2017/5/20

N2 - The lump soliton solutions of a (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation are obtained by making use of its bilinear form. We discuss the conditions to guarantee the analyticity, positiveness and localization of lump solutions. The solutions of interaction between a lump and a stripe are presented. It is proved that the interaction between the two solitary waves is non-elastic. The three-wave method is employed to investigate the periodic lump solutions. Figures are presented to illustrate the dynamical features of these solutions.

AB - The lump soliton solutions of a (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation are obtained by making use of its bilinear form. We discuss the conditions to guarantee the analyticity, positiveness and localization of lump solutions. The solutions of interaction between a lump and a stripe are presented. It is proved that the interaction between the two solitary waves is non-elastic. The three-wave method is employed to investigate the periodic lump solutions. Figures are presented to illustrate the dynamical features of these solutions.

KW - (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation

KW - lump soliton

KW - mixed lump stripe solutions

KW - periodic lump solutions

UR - https://www.scopus.com/pages/publications/85019627293

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DO - 10.1142/S0217984917501573

M3 - 文章

AN - SCOPUS:85019627293

SN - 0217-9849

VL - 31

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 14

M1 - 1750157

ER -

Lump soliton, mixed lump stripe and periodic lump solutions of a (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation

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