Effect of the radiation component on soliton motion | Zendy

Luis Martı́nez Alonso | Zendy

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Effect of the radiation component on soliton motion

Author(s) -

Luis Martı́nez Alonso

Publication year - 1985

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.32.1459

Subject(s) - soliton , sine gordon equation , physics , inverse scattering transform , inverse scattering problem , korteweg–de vries equation , component (thermodynamics) , motion (physics) , reflection (computer programming) , scattering , nonlinear system , equations of motion , mathematical analysis , dissipative soliton , mathematical physics , classical mechanics , inverse , sine , quantum electrodynamics , quantum mechanics , mathematics , geometry , computer science , programming language

The problem of the soliton motion in the case of a nonzero reflection coefficient is solved exactly within the framework of the inverse scattering method. A general method is given for obtaining the asymptotic expressions of the soliton angle variables. As illustrative examples of our procedure, we consider the Korteweg-de Vries equation and its higher analogs, the nonlinear Schrodinger equation, and the sine-Gordon equation

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