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.
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页数：11
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