Solitons under perturbations
- 1 August 1977
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 16 (2), 777-790
- https://doi.org/10.1103/physreva.16.777
Abstract
A direct perturbation method is developed in order to study the interactions of solitons with imperfections and with each other in the presence of imperfections. The leading-order effects are obtained directly from the -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.
Keywords
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