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
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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