Perturbation-induced radiative losses in collision of NSE solitons

Y. S. Kivshar*, B. A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


The total energy (and its spectral density) emitted during the collision of two solitons described by the conservatively perturbed non-linear Schrodinger equation (NSE) is calculated by means of perturbation theory based on the inverse scattering transform. It is shown that the total emitted energy (at large relative velocity) does not depend on the relative internal phase of the colliding solitons. The same results are obtained for solitons in a system of two weakly coupled non-linear Schrodinger equations.

Original languageEnglish
Article number004
Pages (from-to)L967-L971
JournalJournal of Physics A: Mathematical and General
Issue number16
StatePublished - 1986
Externally publishedYes


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