Journal
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
Volume 49, Issue 12, Pages 2085-2091Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0965542509120082
Keywords
sine-Gordon equation; soliton; breather; wobbler; kink; Runge-Kutta method; quasi-spectral Fourier method
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Soliton solutions of the sine-Gordon classical equation are numerically studied. It is shown that considerable perturbations in these solutions lead to the formation of new solution forms that exhibit soliton properties in interactions. The study is performed for kinks and breathers obtained by solving problems with suitable initial data. The underlying numerical technique combines the fourth-order Runge-Kutta method with the quasi-spectral Fourier method.
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