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.
Perturbation Theory for Coupled Nonlinear Schroedinger Equations
MIDRIO, Michele;
1996-01-01
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.File in questo prodotto:
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