Soliton Motion in the Case of a Nonzero Reflection Coefficient
- 11 February 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 54 (6) , 499-501
- https://doi.org/10.1103/physrevlett.54.499
Abstract
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 Schrödinger equation, the Korteweg-de Vries equation, and the sine-Gordon equation.Keywords
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