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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11390/675159
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