On the Birkhoff factorization problem for the Heisenberg magnet and nonlinear Schrödinger equations
DOI10.1063/1.2203231zbMath1112.37060arXivmath-ph/0604019OpenAlexW3099230335MaRDI QIDQ3441928
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0604019
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Lie groups (22Exx)
Related Items (1)
Cites Work
- Unnamed Item
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
- Loop groups and equations of KdV type
- Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- The Landau-Lifshitz equation, elliptic curves and the Ward transform
- GROUP THEORETIC FORMULATION OF THE SEGAL-WILSON APPROACH TO INTEGRABLE SYSTEMS WITH APPLICATIONS
- A loop group approach to the C. Neumann problem and Moser–Veselov factorization
- AKNS hierarchy, self-similarity, string equations and the Grassmannian
This page was built for publication: On the Birkhoff factorization problem for the Heisenberg magnet and nonlinear Schrödinger equations