Solitons under perturbations

J. P. Keener, D. W. McLaughlin

Research output: Contribution to journalArticle

Abstract

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 (US)
Pages (from-to)777-790
Number of pages14
JournalPhysical Review A
Volume16
Issue number2
DOIs
StatePublished - 1977

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solitary waves
perturbation
defects
inverse scattering
waveforms
Green's functions
perturbation theory
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Solitons under perturbations. / Keener, J. P.; McLaughlin, D. W.

In: Physical Review A, Vol. 16, No. 2, 1977, p. 777-790.

Research output: Contribution to journalArticle

Keener, J. P. ; McLaughlin, D. W. / Solitons under perturbations. In: Physical Review A. 1977 ; Vol. 16, No. 2. pp. 777-790.
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