DYNAMICAL BEHAVIOR OF 2-SOLITON SOLUTION EXHIBITED BY PERTURBED SINE-GORDON EQUATION

Authors
CHENG CQ KUPPER T
Citation
Cq. Cheng et T. Kupper, DYNAMICAL BEHAVIOR OF 2-SOLITON SOLUTION EXHIBITED BY PERTURBED SINE-GORDON EQUATION, Mathematische Nachrichten, 171, 1995, pp. 53-77
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
171
Year of publication
1995
Pages
53 - 77
Database
ISI
SICI code
0025-584X(1995)171:<53:DBO2SE>2.0.ZU;2-O
Abstract
We use perturbation methods based on inverse scattering transform to s tudy 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.