Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves

DOI10.1016/j.jmaa.2008.05.101zbMath1159.35066OpenAlexW2065928140MaRDI QIDQ937285

Hannes Uecker, Martina Chirilus-Bruckner, Guido Schneider, Christopher Chong

Publication date: 14 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.101

zbMATH Keywords

approximationnonlinear opticsmodulation equations

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Theoretical approximation in context of PDEs (35A35) Electron optics (78A15)

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Interchanging space and time in nonlinear optics modeling and dispersion management models ⋮ Nonlinear dynamics of modulated waves on graphene like quantum graphs ⋮ Detection of standing pulses in periodic media by pulse interaction ⋮ Interaction of modulated pulses in nonlinear oscillator chains ⋮ Interaction of modulated pulses in scalar multidimensional nonlinear lattices ⋮ Interaction of oscillatory packets of water waves

Cites Work

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• On the impact of FPU lattice discreteness upon solitary wave interactions
• The long-wave limit for the water wave problem I. The case of zero surface tension
• LINEAR SUPERPOSITION IN NONLINEAR WAVE DYNAMICS
• The validity of modulation equations for extended systems with cubic nonlinearities
• Higher Order Modulation Equations for a Boussinesq Equation
• Microlocal dispersive smoothing for the Schrödinger equation
• On the interaction of NLS‐described modulating pulses with different carrier waves
• Corrections to the KdV Approximation for Water Waves

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