Do symmetry constraints nonlinearize spectral problems into Hamiltonian systems?
From MaRDI portal
Publication:1569614
DOI10.1016/S0375-9601(00)00203-6zbMath0944.37040MaRDI QIDQ1569614
Publication date: 3 July 2000
Published in: Physics Letters. A (Search for Journal in Brave)
nonlinear Schrödinger equationsnon-Hamiltonian systemAKNS spectral problemLiouville integrable finite-dimensional Hamiltonian systems
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (3)
New Liouville integrable noncanonical Hamiltonian systems from the AKNS spectral problem ⋮ Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions ⋮ A generalized Broer-Kaup (GBK) hierarchy and its expanding integrable system
Cites Work
- Nonlinearization of the Lax system for AKNS hierarchy
- Theory of nonlinear lattices.
- Binary nonlinearization for the Dirac systems
- The Hamiltonian structure and new finite-dimensional integrable system associated with Harry-Dym type equations
- On the complete integrability of nonlinearized Lax systems for the classical Boussinesq hierachy
- The constraints of potentials and the finite-dimensional integrable systems
- Integrable Hamiltonian systems related to the polynomial eigenvalue problem
- Restricted flows of the AKNS hierarchy
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations
- Soliton hierarchies with sources and Lax representation for restricted flows
- An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems
- Unnamed Item
- Unnamed Item
This page was built for publication: Do symmetry constraints nonlinearize spectral problems into Hamiltonian systems?
