Embedded solitons in the (2+1)-dimensional sine-Gordon equation

被引：0

作者：

Zhong, WenYe ^{[1
]}

Zhong, Wei-Ping ^{[2
,3
]}

Belic, Milivoj R. ^{[3
]}

Cai, Guofa ^{[1
]}

机构：

[1] Guangdong Univ Technol, Sch Informat Engn, Guangzhou 510006, Peoples R China

[2] Shunde Polytech, Dept Elect Engn, Shunde 528300, Guangdong, Peoples R China

[3] Texas A&M Univ Qatar, Doha 23874, Qatar

来源：

NONLINEAR DYNAMICS | 2020年 / 100卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Solitons; The (2+1)-D sine-Gordon equation; Spatiotemporal non-rational soliton structures; PARABOLIC PULSES; AMPLIFICATION; PROPAGATION; SYMMETRY; SYSTEMS; WAVES;

D O I：

10.1007/s11071-020-05561-2

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

An effective and simple method to solve nonlinear evolution partial differential equations is the self-similarity transformation, in which one utilizes solutions of the known equation to find solutions of the unknown. In this paper, we employ an improved similarity transformation to transform the (2+1)-dimensional (D) sine-Gordon (SG) equation into the (1+1)-D SG equation and obtain non-rational solutions of the (2+1)-D SG equation by utilizing the known solutions of the (1+1)-D SG equation. Based on the solutions obtained, and with the help of special choices of the involved solution parameters, several localized structures of the (2+1)-D SG model are analyzed on a finite background, such as the embedded hourglass, split silo, dumbbell, and pie solitons. Their spatiotemporal profiles are displayed, and their properties are discussed.

引用

页码：1519 / 1526

页数：8

共 28 条

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