Dark Solitons, Dispersive Shock Waves, and Transverse Instabilities

DOI10.1137/110834822zbMath1248.35195DBLPjournals/mmas/HoeferI12arXiv1105.3702OpenAlexW3100670297WikidataQ57433401 ScholiaQ57433401MaRDI QIDQ2913930

Boaz Ilan, M. A. Hoefer

Publication date: 21 September 2012

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3702

zbMATH Keywords

semiclassical regimevorticestraveling wavesBose-Einstein condensatesnonlinear topics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (8)

Oblique Spatial Dispersive Shock Waves in Nonlinear Schrödinger Flows ⋮ Modulational instability in a \(P T\)-symmetric vector nonlinear Schrödinger system ⋮ Time-dependent spectral renormalization method ⋮ On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation ⋮ Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations ⋮ Dispersive shock waves and modulation theory ⋮ On critical behaviour in systems of Hamiltonian partial differential equations ⋮ Spectral transverse instabilities and soliton dynamics in the higher-order multidimensional nonlinear Schrödinger equation

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