Toda lattice hierarchy and conservation laws
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Publication:2638445
DOI10.1007/BF02096984zbMath0717.35083MaRDI QIDQ2638445
Publication date: 1990
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie (super)algebras to physics, etc. (17B81) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
Related Items (26)
Constrained Toda hierarchy and turning points of the Ruijsenaars-Schneider model ⋮ 2D Toda τ functions, weighted Hurwitz numbers and the Cayley graph: Determinant representation and recursion formula ⋮ Quasi-periodic solutions to the hierarchy of four-component Toda lattices ⋮ A geometric construction of solutions of the strict \(\mathrm{dKP}(\Lambda_0)\) hierarchy ⋮ Connected (n,m)-point functions of diagonal 2-BKP tau-functions and spin double Hurwitz numbers ⋮ Diagonal tau-functions of 2d Toda lattice hierarchy, connected \((n,m)\)-point functions, and double Hurwitz numbers ⋮ Toda lattice with constraint of type B ⋮ Application of the trigonal curve to a hierarchy of generalized Toda lattices ⋮ Multi-variable reductions of the dispersionless DKP hierarchy ⋮ Discrete N-fold Darboux transformation and infinite number of conservation laws of a four-component Toda lattice ⋮ Tau-function of the B-Toda hierarchy ⋮ Generalized Toda field theories ⋮ A new dual symmetry structure of the KP hierarchy. ⋮ Elliptic families of solutions to constrained Toda hierarchy ⋮ SDiff(2) Toda equation --- hierarchy, tau function, and symmetries ⋮ Generalized Toda field theories ⋮ String equation for string theory on a circle ⋮ Classical tau-function for quantum spin chains ⋮ Infinite dimensional symmetric spaces and Lax equations compatible with the infinite Toda chain ⋮ Integrable hierarchies in the \(\mathbb{N} \times \mathbb{N}\)-matrices related to powers of the shift operator ⋮ Strict versions of integrable hierarchies in pseudodifference operators and the related Cauchy problems ⋮ Heterotic Toda fields. ⋮ Tau-functions generating the conservation laws for generalized integrable hierarchies of KdV and affine Toda type ⋮ Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation ⋮ Constrained reductions of two-dimensional dispersionless Toda hierarchy, Hamiltonian structure, and interface dynamics ⋮ Representation theoretical meaning of the initial value problem for the Toda lattices hierarchy. I
Cites Work
- Two-dimensional generalized Toda lattice
- The complex exponent of a singularity does not change along strata mu=const
- CONSTRUCTION OF CONSERVATION LAWS FOR LAX EQUATIONS: COMMENTS ON A PAPER BY G. WILSON
- ON TWO CONSTRUCTIONS OF CONSERVATION LAWS FOR LAX EQUATIONS
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