Nonhomogeneous dispersive water waves and Painlevé equations
DOI10.46298/OCNMP.7602zbMATH Open1547.35539MaRDI QIDQ6580251
Publication date: 29 July 2024
Published in: Open Communications in Nonlinear Mathematical Physics (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Virasoro and related algebras (17B68) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) General topics in linear spectral theory for PDEs (35P05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Soliton solutions (35C08)
Cites Work
- Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
- On a generalized \(2+1\) dispersive water wave hierarchy
- The second Painlevé hierarchy and the stationary KdV hierarchy
- Generalized scaling reductions and Painlevé hierarchies
- Bäcklund flux quantization in a model of electrodiffusion based on Painlevé. II.
- A symmetric system of mixed Painlevé III–V equations and its integrable origin
- A reduction of the resonant three-wave interaction to the generic sixth Painlevé equation
- New similarity reductions of the Boussinesq equation
- Two-component soliton systems and the Painlevé equations
- A Hele-Shaw problem and the second Painlevé transcendent
This page was built for publication: Nonhomogeneous dispersive water waves and Painlevé equations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6580251)
