The Riemann problem and matrix-valued potentials with a convergent Baker-Akhiezer function
From MaRDI portal
Publication:843821
DOI10.1007/s11232-005-0158-yzbMath1178.30048OpenAlexW1966587357MaRDI QIDQ843821
Publication date: 17 January 2010
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11232-005-0158-y
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Boundary value problems in the complex plane (30E25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)
Related Items
Holomorphic solutions of soliton equations, Soliton Equations and Their Holomorphic Solutions, On holomorphic solutions of equations of Korteweg–de Vries type, Real-analytic solutions of the nonlinear Schrödinger equation, Remarks on the local version of the inverse scattering method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elementary Darboux transformations and factorization
- Reflectionless potentials and soliton series of the nonlinear Schrödinger equation
- Nonlinear equations and elliptic curves
- The Riemann boundary value problem on closed Riemann surfaces and integrable systems
- Limits of soliton solutions
- The periodic problem for the Korteweg-de Vries equation
- Integration of nonlinear equations by the methods of algebraic geometry
- Construction of reflectionless potentials with infinite discrete spectrum
- Matrix finite-zone operators
- Factorization and the dressing method for the Gel'fand-Dikii hierarchy
- GROUP THEORETIC FORMULATION OF THE SEGAL-WILSON APPROACH TO INTEGRABLE SYSTEMS WITH APPLICATIONS
- Global Birkhoff factorization on loop groups of the ZS-AKNS flows
- Bäcklund transformations and loop group actions
- Global solutions of the elliptic 2D periodic Toda lattice
