General solution of the Cauchy problem for the defocusing NLS equation in the Whitham limit
From MaRDI portal
Publication:1965622
DOI10.1016/0375-9601(95)00379-HzbMath1020.35529OpenAlexW2137183021MaRDI QIDQ1965622
Gennady A. El, Alexander L. Krylov
Publication date: 8 February 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0375-9601(95)00379-h
Related Items
Refraction of dispersive shock waves ⋮ On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation ⋮ Discontinuous shock solutions of the Whitham modulation equations as zero dispersion limits of traveling waves ⋮ Wave Breaking and the Generation of Undular Bores in an Integrable Shallow Water System ⋮ Spatial dispersive shock waves generated in supersonic flow of Bose-Einstein condensate past slender body ⋮ Analytic model for a weakly dissipative shallow-water undular bore ⋮ Generating function of the Whitham-KdV hierarchy and effective solution of the Cauchy problem. ⋮ Dispersive shock waves in systems with nonlocal dispersion of Benjamin–Ono type ⋮ Dispersive shock waves and modulation theory ⋮ Shock waves in dispersive Eulerian fluids
Cites Work
- Unnamed Item
- Unnamed Item
- Whitham equations in the AKNS scheme
- The small dispersion limit of the Korteweg-de Vries equation. III
- The zero dispersion limit of the korteweg-de vries equation for initial potentials with non-trivial reflection coefficient
- Oscillations of the zero dispersion limit of the korteweg‐de vries equation
- Non-linear dispersive waves