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arXiv · 2011.13299

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

K. K. Sabirov·J. R. Yusupov·M. Ehrhardt·D. U. Matrasulov
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Abstract

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 the backscattering in transmission of sine-Gordon solitons through the boundary of the considered finite domains.

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K. K. Sabirov, J. R. Yusupov, M. Ehrhardt, D. U. Matrasulov. 2020-11-26. Transparent boundary conditions for the sine-Gordon equation:Modeling the reflectionless propagation of kink solitons on a line. https://arxiv.org/abs/2011.13299

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