Dynamical Behavior of Two-Soliton Solution Exhibited by Perturbed Sine-Gordon Equation

✍ Scribed by Chongqing Cheng

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 910 KB
• Volume: 171
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19951710105

✦ Synopsis

We use perturbation methods based on inverse scattering transform to study the dynamical behavior of the kink-antikink solitons exhibited by a driven-damped sine-Gordon equation with infinite boundary condition. It is shown that such solitons may be forced by damping and external forces to remain in a finite region instead of approaching infinity.

u,, -u,, + sinu = E ( -C U , +f(t)), -a < x < co, Supported by Alexander von Humboldt Foundation of Germany.