Department of Mathematics
Numerical soliton solutions for a discrete sine-gordon system
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. © 2009 Global-Science Press.
Artificial boundary method, Numerical single solitons, Sine-Gordon equation, Soliton solutions
Source Publication Title
Communications In Computational Physics
Global Science Press
Han, Houde, Jiwei Zhang, and Hermann Brunner. "Numerical soliton solutions for a discrete sine-gordon system." Communications In Computational Physics 6.4 (2009): 903-918.