TY - JOUR
T1 - Dynamics and kinetics of solitons in the driven damped double Sine-Gordon equation
AU - Malomed, Boris A.
PY - 1989/4/17
Y1 - 1989/4/17
N2 - A damped double SG equation with a constant driving term describes a model of the Frenkel-Kontorova type in the case when the substrate potential contains a weak subharmonic component, and an external field is present. This equation generates three types of solitons: a 4π-kink and two sorts of 2π-kinks (with corresponding antikinks). It is demonstrated that collisions between kinks and/or antikinks give rise to various modes of annihilation and mutual conversion. Next, kinetics of a rarefied gas of kinks are considered, and a stable equilibrium solution of the corresponding kinetic equations is found. Collision-induced radiative effects and their influence on the kinetics of the rarefied gas are analyzed too.
AB - A damped double SG equation with a constant driving term describes a model of the Frenkel-Kontorova type in the case when the substrate potential contains a weak subharmonic component, and an external field is present. This equation generates three types of solitons: a 4π-kink and two sorts of 2π-kinks (with corresponding antikinks). It is demonstrated that collisions between kinks and/or antikinks give rise to various modes of annihilation and mutual conversion. Next, kinetics of a rarefied gas of kinks are considered, and a stable equilibrium solution of the corresponding kinetic equations is found. Collision-induced radiative effects and their influence on the kinetics of the rarefied gas are analyzed too.
UR - http://www.scopus.com/inward/record.url?scp=45149144172&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(89)90422-2
DO - 10.1016/0375-9601(89)90422-2
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AN - SCOPUS:45149144172
VL - 136
SP - 395
EP - 401
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 7-8
ER -