Modulation theory and resonant regimes for dispersive shock waves in nematic liquid crystals

DOI10.1016/j.physd.2020.132334zbMath1484.76010arXiv2001.07647OpenAlexW2998839965WikidataQ126403971 ScholiaQ126403971MaRDI QIDQ2115374

Saleh Baqer, Noel F. Smyth

Publication date: 15 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.07647

zbMATH Keywords

nonlinear Schrödinger equationKorteweg-de Vries equationnematic liquid crystaloptical dispersive shock waveresonant linear wavetrainWhitham modulation model

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Physical optics (78A10)

Related Items (3)

Extended shallow water wave equations ⋮ Traveling wave solutions of the Kawahara equation joining distinct periodic waves ⋮ Dynamic soliton–mean flow interaction with non-convex flux

Uses Software

• Matlab

Cites Work

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• Decay of an initial discontinuity in the defocusing NLS hydrodynamics
• Optical dispersive shock waves in defocusing colloidal media
• Finite-gap attractors and transition processes of the shock wave type in integrable systems
• Dispersive shock waves and modulation theory
• Dispersive shock waves in nematic liquid crystals
• Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves
• Shock Waves in Dispersive Hydrodynamics with Nonconvex Dispersion
• Dispersive dam-break and lock-exchange flows in a two-layer fluid
• Approximate solutions for magmon propagation from a reservoir
• Resolution of a shock in hyperbolic systems modified by weak dispersion
• Quantum computation, entanglement and state reduction
• Fourier Methods with Extended Stability Intervals for the Korteweg–de Vries Equation
• Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
• Initial-Boundary Value Problems for the Korteweg-de Vries Equation
• A numerical and theoretical study of certain nonlinear wave phenomena
• Modelling the morning glory of the Gulf of Carpentaria
• Spectral Methods in MATLAB
• The initial boundary problem for the Korteweg-de Vries equation on the negative quarter-plane
• Resonant flow of a stratified fluid over topography
• A general approach to linear and non-linear dispersive waves using a Lagrangian
• Small-amplitude defocusing nematicons
• Modulation theory solution for nonlinearly resonant, fifth‐order Korteweg–de Vries, nonclassical, traveling dispersive shock waves
• Non-linear dispersive waves
• Radiating dispersive shock waves in non-local optical media
• Dispersive shock waves in viscously deformable media
• On a Leray–α model of turbulence
• An undular bore solution for the higher-order Korteweg–de Vries equation
• Variational methods and applications to water waves
• A non-linear equation incorporating damping and dispersion

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