Construction of KdV flow: a unified approach
From MaRDI portal
Publication:6110232
DOI10.1007/s42543-022-00058-wzbMath1525.37075arXiv2107.05428MaRDI QIDQ6110232
Publication date: 1 August 2023
Published in: Peking Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.05428
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Loop groups and equations of KdV type
- Almost periodicity of some random potentials
- On a Sato-Segal-Wilson solutions of the K-dV equation
- Notes on infinite determinants of Hilbert space operators
- The \(\xi\) function
- Invariance of white noise for KdV on the line
- KdV is well-posed in \(H^{-1}\)
- Generalized reflection coefficients
- Differential equations with non oscillatory eigenfunctions
- On a complete analysis of high-energy scattering matrix asymptotics for one dimensional Schrödinger operators with integrable potentials
- On the existence and uniqueness of global solutions for the KdV equation with quasi-periodic initial data
- The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step-like initial profile decaying on the right half line
- Two Elementary Proofs of the L 2 Boundedness of Cauchy Integrals on Lipschitz Curves
- Cauchy integrals on Lipschitz curves and related operators
- KdV hierarchy via Abelian coverings and operator identities
- Local Well-Posedness of the KdV Equation with Quasi-Periodic Initial Data
- Construction of KdV flow I. Tau-Function via Weyl Function
- Soliton Theory and Hankel Operators
- On the evolution of a reflection coefficient under the Korteweg–de Vries flow
- The effect of a positive bound state on the KdV solution: a case study *
This page was built for publication: Construction of KdV flow: a unified approach