Soliton Hierarchies from Matrix Loop Algebras
From MaRDI portal
Publication:4556847
DOI10.1007/978-3-319-63594-1_20zbMath1401.37081OpenAlexW2787504544MaRDI QIDQ4556847
Publication date: 28 November 2018
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-63594-1_20
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) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
- Darboux transformations for a Lax integrable system in \(2n\) dimensions
- A few new higher-dimensional Lie algebras and two types of coupling integrable couplings of the AKNS hierarchy and the KN hierarchy
- Novel soliton hierarchies of Levi type and their bi-Hamiltonian structures
- Integrable theory of the perturbation equations.
- A soliton hierarchy associated with \(\mathrm{so}(3,\mathbb R)\)
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Conservation laws and symmetries of generalized sine-Gordon equations
- Generalized Drinfel'd-Sokolov hierarchies
- Generalized Drinfel'd-Sokolov hierarchies. II: The Hamiltonian structures
- An integrable \(\text{SO}(3,\mathbb{R})\)-counterpart of the Heisenberg soliton hierarchy
- New Integrable Nonlinear Evolution Equations
- On Liouville integrability of zero-curvature equations and the Yang hierarchy
- The transformation operatorV of nonlinear evolution equation
- The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
- The algebraic structures of isospectral Lax operators and applications to integrable equations
- Evolution equations possessing infinitely many symmetries
- An exact solution for a derivative nonlinear Schrödinger equation
- A simple model of the integrable Hamiltonian equation
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- A spectral problem based on so$(3,\mathbb {R})$(3,R) and its associated commuting soliton equations
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
- Integrals of nonlinear equations of evolution and solitary waves
- An integrable counterpart of the D-AKNS soliton hierarchy from \(\mathrm{so}(3,\mathbb R)\)
