On the generation of dispersive shock waves

DOI10.1016/j.physd.2016.04.011zbMath1415.35046arXiv1510.03686OpenAlexW2340788031MaRDI QIDQ2000226

Peter D. Miller

Publication date: 28 June 2019

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

Full work available at URL: https://arxiv.org/abs/1510.03686

zbMATH Keywords

universalitysemiclassical limitLax-Levermore theoryDeift-Zhou steepest descent methodsmall-dispersion limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (9)

Background-enhanced collapse instability of optical Speckle beams in nonlocal nonlinear media ⋮ Lax Eigenvalues in the Zero-Dispersion Limit for the Benjamin–Ono Equation on the Torus ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Finite gap conditions and small dispersion asymptotics for the classical periodic Benjamin–Ono equation ⋮ Modulated equations of Hamiltonian PDEs and dispersive shocks ⋮ Dispersive shock waves in systems with nonlocal dispersion of Benjamin–Ono type ⋮ Dispersive hydrodynamics: Preface ⋮ Semiclassical soliton ensembles for the three-wave resonant interaction equations ⋮ On numerical inverse scattering for the Korteweg–de Vries equation with discontinuous step-like data

Uses Software

• DLMF

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