Introduction to Classical Integrable Systems: Introduction
By O. Babelon, D. Bernard, M. Talon. 2003
546 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6e68d822cf771418c325d6e86932bd6e61c5117e
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Citations in the corpus
- Quasilocal charges in integrable lattice systems (2016, background): “quantum many-body systems in 1D [7], it also covers 2D equilibrium classical statistical systems [8], nonequilibrium classical driven diusive 1D systems [9], as well as classical Hamiltonian systems [10,11], and since more recently, also integrable nonequilibrium steady states of open quantum intera”
- Invariants of algebraic curves and topological expansion (2007, background): “the bilinear relation: Res η→ζ dx(η)KN(ξ,η)K˜ ˜ N(η,ζ) = KN(ξ,ζ) (9-10) 46 and also: Res ξ→α dx(ξ)ψα,N(ξ)ψ˜ α,−N˜(ξ) = 0 if N˜˜tα >Ntα +1 (9-11) which takes exactly the form of the Hirota equation [9, 56]. It is important to notice that this Hirota equation makes sense only order by order in its ”
- Towards integrability for AdS 3 / CFT 2 ?> (2014, methodology): “[181,182] for further details on classical integrability and the inverse scattering method and to refs.”
- A& B model approaches to surface operators and Toda thoeries (2010, unknown): “2) is closely related to a ‘Baker-Akhiezer’ function [14, 37] of the classical integrable system(6) Ψ(z) = (ψ1 · · ·ψd) ψ(z)i = exp [∑”
- Generalised integrable λ- and η-deformations and their relation (2015, background): “1)) for which the Drinfeld double is the complexification d = g = g ⊗ C of a real Lie-algebra g, and the real branch (c2 > 0) in which case the double is given by d = gdiag ⊕ p (further discussion of the construction of the Drinfeld double from the R-matrix can be found in [18] and also chapter 4 of”
- Planar dimers and Harnack curves (2003, background): “particular, by their connections with integrable systems, see, for example, [2, 6, 9] for an introduction.”
- Spitzer's identity and the algebraic Birkhoff decomposition in pQFT (2004, background): “Let us mention here that the Lie algebraic version of the Rota-Baxter relation plays under the name (modified) classical Yang-Baxter(4) equation a prominent rôle in the theory of integrable systems [3, 28, 31, 32].”
- Logarithmic scaling in gauge/string correspondence (2006, background): “In this paper we are interested in the eigenstates possessing the minimal possible energy for a given total spin N .”