Typical dropping asymptotics in the semiclassical approximations to solutions of the nonlinear Schrödinger equation
DOI10.1134/S0012266124050045MaRDI QIDQ6608000
Sergej N. Melikhov, A. M. Shavlukov, B. I. Suleimanov
Publication date: 19 September 2024
Published in: Differential Equations (Search for Journal in Brave)
cuspasymptoticsshallow water equationsnonlinear Schrödinger equationcatastrophe theorysingularity theorygradient catastrophegas dynamics equationdropping singularity
Asymptotic behavior of solutions to PDEs (35B40) Gas dynamics (general theory) (76N15) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Singularity in context of PDEs (35A21) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Inheritance of generic singularities of solutions of a linear wave equation by solutions of isoentropic gas motion equations
- Singularities of multivalued solutions of quasilinear hyperbolic systems
- On universality of critical behavior in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the Tritronquée solution to the Painlevé-I equation
- Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter
- Jordan form, parabolicity and other features of change of type transition for hydrodynamic type systems
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
This page was built for publication: Typical dropping asymptotics in the semiclassical approximations to solutions of the nonlinear Schrödinger equation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6608000)
