Transparent boundary conditions for the sine-Gordon equation: Modeling the reflectionless propagation of kink solitons on a line

被引：8

作者：

Sabirov, K. K. ^{[1
,5
]}

Yusupov, J. R. ^{[2
]}

Ehrhardt, M. ^{[3
]}

Matrasulov, D. U. ^{[2
,4
]}

机构：

[1] Tashkent Univ Informat Technol, 108 Amir Temur Str, Tashkent 100200, Uzbekistan

[2] Yeoju Tech Inst Tashkent, 156 Usman Nasyr Str, Tashkent 100121, Uzbekistan

[3] Berg Univ Wuppertal, Gaussstr 20, D-42119 Wuppertal, Germany

[4] Turin Polytech Univ Tashkent, 17 Niyazov Str, Tashkent 100095, Uzbekistan

[5] Tashkent State Tech Univ, 2 Univ Str, Tashkent 100095, Uzbekistan

来源：

PHYSICS LETTERS A | 2022年 / 423卷

关键词：

Transparent boundary conditions; Transport of solitons; Sine-Gordon equation; Potential approach; SCHRODINGER-EQUATION; PARABOLIC EQUATIONS; NUMERICAL-SOLUTION; ALGORITHMS; JUNCTION; SCHEME;

D O I：

10.1016/j.physleta.2021.127822

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the reflectionless transport of sine-Gordon solitons on a line. Transparent boundary conditions for the sine-Gordon equation on a line are derived using the so-called potential approach. Our numerical implementation of these novel boundary conditions proves the absence of backscattering in the transmission of sine-Gordon solitons through the boundary of the finite domains under consideration. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：11

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