Solitons under perturbations

J. P. Keener, D. W. McLaughlin

Research output: Contribution to journalArticlepeer-review

198 Scopus citations


A direct perturbation method is developed in order to study the interactions of N solitons with imperfections and with each other in the presence of imperfections. The leading-order effects are obtained directly from the N-soliton waveform without invoking methods from inverse-scattering theory. The method is based upon a Green's function and a "two time" procedure from classical perturbation theory. An example of a single soliton is developed in detail. Finally, this perturbation method is compared with other approaches in the literature.

Original languageEnglish
Pages (from-to)777-790
Number of pages14
JournalPhysical Review A
Issue number2
StatePublished - 1977
Externally publishedYes


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