Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure
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Publication:5227214
DOI10.1111/sapm.12247zbMath1418.35334arXiv1808.07969OpenAlexW2888361457MaRDI QIDQ5227214
Thibault Congy, Gennady A. El, M. A. Hoefer, Michael Shearer
Publication date: 25 July 2019
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.07969
Asymptotic behavior of solutions to PDEs (35B40) Shock waves and blast waves in fluid mechanics (76L05) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (6)
Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation ⋮ Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory ⋮ Nonlinear Shallow-Water Waves with Vertical Odd Viscosity ⋮ The long-wave potential-vorticity dynamics of coastal fronts ⋮ The complete classification of solutions to the Riemann problem of the defocusing complex modified KdV equation ⋮ NLS-type equations from quadratic pencil of Lax operators: negative flows
Uses Software
Cites Work
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