Dynamical Behavior of Two‐Soliton Solution Exhibited by Perturbed Sine‐Gordon Equation | Zendy

Cheng Chongqing | Zendy

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

Author(s) -

Cheng Chongqing

Publication year - 1995

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19951710105

Subject(s) - sine , sine gordon equation , perturbation (astronomy) , soliton , mathematics , infinity , mathematical analysis , boundary value problem , inverse scattering transform , inverse scattering problem , inverse , mathematical physics , classical mechanics , physics , nonlinear system , inverse problem , quantum mechanics , geometry

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.

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