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Volume 6, Issue 4
Numerical Soliton Solutions for a Discrete Sine-Gordon System

Houde Han, Jiwei Zhang & Hermann Brunner

Commun. Comput. Phys., 6 (2009), pp. 903-918.

Published online: 2009-06

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  • Abstract

In this paper we use an analytical-numerical approach to find, in a systematic way, new 1-soliton solutions for a discrete sine-Gordon system in one spatial dimension. Since the spatial domain is unbounded, the numerical scheme employed to generate these soliton solutions is based on the artificial boundary method. A large selection of numerical examples provides much insight into the possible shapes of these new 1-solitons.

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@Article{CiCP-6-903, author = {Houde Han, Jiwei Zhang and Hermann Brunner}, title = {Numerical Soliton Solutions for a Discrete Sine-Gordon System}, journal = {Communications in Computational Physics}, year = {2009}, volume = {6}, number = {4}, pages = {903--918}, abstract = {

In this paper we use an analytical-numerical approach to find, in a systematic way, new 1-soliton solutions for a discrete sine-Gordon system in one spatial dimension. Since the spatial domain is unbounded, the numerical scheme employed to generate these soliton solutions is based on the artificial boundary method. A large selection of numerical examples provides much insight into the possible shapes of these new 1-solitons.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7711.html} }
TY - JOUR T1 - Numerical Soliton Solutions for a Discrete Sine-Gordon System AU - Houde Han, Jiwei Zhang & Hermann Brunner JO - Communications in Computational Physics VL - 4 SP - 903 EP - 918 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7711.html KW - AB -

In this paper we use an analytical-numerical approach to find, in a systematic way, new 1-soliton solutions for a discrete sine-Gordon system in one spatial dimension. Since the spatial domain is unbounded, the numerical scheme employed to generate these soliton solutions is based on the artificial boundary method. A large selection of numerical examples provides much insight into the possible shapes of these new 1-solitons.

Houde Han, Jiwei Zhang and Hermann Brunner. (2009). Numerical Soliton Solutions for a Discrete Sine-Gordon System. Communications in Computational Physics. 6 (4). 903-918. doi:
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