Soliton motion in the case of a nonzero reflection coefficient
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1985
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American Physical Society
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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 Schrodinger equation, the Korteweg —de Vries equation, and the sine-Gordon equation.
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©1985 The American Physical Society.
The author wishes to thank G. Garcia Alcaine for helpful conversations. Partial financial support by Comision Asesora de Investigacion Cientifica y Tecnica is gratefully acknowledged.