Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersionReportar como inadecuado




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1 Département de mathématiques Université Libre de Bruxelles 2 MEPHYSTO - Quantitative methods for stochastic models in physics LPP - Laboratoire Paul Painlevé, ULB - Université Libre de Bruxelles Bruxelles, Inria Lille - Nord Europe

Abstract : In this note we provide some simple results for the 4NLS model i∂tψ + ∆ψ + |ψ| 2σ ψ − γ∆ 2 ψ = 0, where γ > 0. Our aim is to partially complete the discussion on waveguide solutions in 11, Section 4.1. In particular, we show that in the model case with a Kerr nonlinearity σ=1, the least energy waveguide solution ψt, x = expiαtux with α > 0 is unique for small γ and qualitatively behaves like the waveguide solution of NLS. On the contrary, oscillations arise at infinity when γ is too large.





Autor: Denis Bonheure - Robson Nascimento -

Fuente: https://hal.archives-ouvertes.fr/



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