Groups of equivariant loops in SL(n+1,C) and soliton equations
DOI10.1063/1.530296zbMath0811.35128OpenAlexW1965523670MaRDI QIDQ4276756
Publication date: 1 May 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530296
Drinfel'd and Sokolov hierarchiesJacobian of a complete algebraic curveSegal-Wilson constructionsystems of Fordy and Kulishvector NLS hierarchy
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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Invariance and symmetry properties for PDEs on manifolds (58J70) Loops, quasigroups (20N05)
Related Items (1)
Cites Work
- An algebro-geometric interpretation of the Bäcklund-transformation for the Korteweg-de Vries equation
- Nonlinear Schrödinger equations and simple Lie algebras
- Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
- Lie algebras and equations of Korteweg-de Vries type
- Loop groups and equations of KdV type
- Polar representations
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Generalized Drinfel'd-Sokolov hierarchies
- Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
- The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
- Infinite-dimensional Lie groups and algebraic geometry in soliton theory
- τ functions and zero curvature equations of Toda–AKNS type
- The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
- On the τ-function of matrix hierarchies of integrable equations
- THE WEYL GROUP OF A GRADED LIE ALGEBRA
This page was built for publication: Groups of equivariant loops in SL(n+1,C) and soliton equations
