PERTURBATION-THEORY FOR COUPLED NONLINEAR SCHRODINGER-EQUATIONS

Authors
MIDRIO M WABNITZ S FRANCO P
Citation
M. Midrio et al., PERTURBATION-THEORY FOR COUPLED NONLINEAR SCHRODINGER-EQUATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(5), 1996, pp. 5743-5751
Citations number
30
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
5
Year of publication
1996
Pages
5743 - 5751
Database
ISI
SICI code
1063-651X(1996)54:5<5743:PFCNS>2.0.ZU;2-7
Abstract
We extend the perturbation theory of the nonlinear Schrodinger equatio n to the case of the integrable vector nonlinear Schrodinger equation. By applying the perturbed inverse scattering transform, we derive a s et of nonlinear coupled evolution equations for the adiabatic change o f the parameters of a vector soliton, in the presence of a generic per turbation. We show that the same equations may also be obtained by mea ns of a Lagrangian variational approach.