The Neumann type systems and algebro-geometric solutions of a system of coupled integrable equations
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Publication:430042
DOI10.1007/s11040-011-9092-4zbMath1408.37114OpenAlexW2011197106MaRDI QIDQ430042
Publication date: 20 June 2012
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11040-011-9092-4
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
Cites Work
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- \(r\)-matrix and algebraic-geometric solution for integrable symplectic map.
- Nonlinearization of the Lax system for AKNS hierarchy
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II
- Multiphase similarity solutions of integrable evolution equations
- Finite-zone potentials and integrable systems on a sphere with quadratic potential
- Three integrable Hamiltonian systems connected with isospectral deformations
- The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
- Lax representation and dynamical \(r\)-matrix for a new Neumann type integrable model
- Discrete and continuous integrable systems possessing the same non-dynamical \(r\)-matrix.
- Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions
- Method for Solving the Korteweg-deVries Equation
- Neumann type integrable reduction for nonlinear evolution equations in 1+1 and 2+1 dimensions
- Geodesics on quadrics and a mechanical problem of C. Neumann.
- Lax representation, r-matrix method, and separation of variables for the Neumann-type restricted flow
- Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
- An involutive system and integrable C. Neumann system associated with the modified Korteweg–de Vries hierarchy
- The finite-band solution of the Jaulent–Miodek equation
- GENERALIZED r-MATRIX STRUCTURE AND ALGEBRO-GEOMETRIC SOLUTION FOR INTEGRABLE SYSTEM
- Finite-gap solutions of 2+1 dimensional integrable nonlinear evolution equations generated by the Neumann systems
- 30 years of finite-gap integration theory
- Integrals of nonlinear equations of evolution and solitary waves
- C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
- The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE's of shallow water and Dym type
