We extend the perturbation theory of the nonlinear Schrödinger equation to the case of the integrable vector nonlinear Schrödinger equation. By applying the perturbed inverse scattering transform, we derive a set of nonlinear coupled evolution equations for the adiabatic change of the parameters of a vector soliton, in the . presence of a generic perturbation. We show that the same equations may also be obtained by means of a Lagrangian variational approach.
Titolo: | Perturbation Theory for Coupled Nonlinear Schroedinger Equations |
Autori: | |
Data di pubblicazione: | 1996 |
Rivista: | |
Abstract: | We extend the perturbation theory of the nonlinear Schrödinger equation to the case of the integrable vector nonlinear Schrödinger equation. By applying the perturbed inverse scattering transform, we derive a set of nonlinear coupled evolution equations for the adiabatic change of the parameters of a vector soliton, in the . presence of a generic perturbation. We show that the same equations may also be obtained by means of a Lagrangian variational approach. |
Handle: | http://hdl.handle.net/11390/675159 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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