Justification of the coupled mode asymptotics for localized wavepackets in the periodic nonlinear Schrödinger equation

DOI10.1016/J.JMAA.2017.01.039zbMath1360.35241arXiv1602.04121OpenAlexW2963706586MaRDI QIDQ511278

Lisa Helfmeier, Tomáš Dohnal

Publication date: 14 February 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04121

zbMATH Keywords

periodic structureGross-PitaevskiiBloch transformationcoupled mode equationsenvelope approximationwavepacket

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)

Related Items (4)

Bifurcation of gap solitons in coupled mode equations in \(d\) dimensions ⋮ Coupled mode equations and gap solitons in higher dimensions ⋮ NLS approximation for wavepackets in periodic cubically nonlinear wave problems in ℝ^d ⋮ Rigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structures

Cites Work

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• Justification of the nonlinear Schrödinger equation in spatially periodic media
• Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential
• Abstract non linear wave equations
• Perturbation theory for linear operators.
• Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation
• Nonlinear PDEs
• Traveling Solitary Waves in the Periodic Nonlinear Schrödinger Equation with Finite Band Potentials
• Nonlinear propagation of light in one-dimensional periodic structures

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