Soliton Motion in the Case of a Nonzero Reflection Coefficient | Zendy

Luis Martı́nez Alonso | Zendy

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Soliton Motion in the Case of a Nonzero Reflection Coefficient

Author(s) -

Luis Martı́nez Alonso

Publication year - 1985

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.54.499

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

A method is given for finding the shifts in position of the solitons for the case of nonzero reflection coefficient. Expressions for boost generators in terms of scattering data play a prominent role in the analysis. Phase-shift formulas which show the effect of the radiation component on the soliton motion are deduced for the nonlinear Schrodinger equation, the Korteweg —de Vries equation, and the sine-Gordon equation

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