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 -