70 citations · 345 across the 56 of their papers we have counts for
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Compatible Poisson-Lie structures on the loop group of
B. Enriquez, V. N. Rubtsov
We define a 1-parameter family of -matrices on the loop algebra of , defining compatible Poisson structures on the associated loop group, which degenerate into the ratio…
Dispersionful analogues of Benney's equations and -wave systems
B. Enriquez, A. Yu. Orlov, V. N. Rubtsov
We recall Krichever's construction of additional flows to Benney's hierarchy, attached to poles at finite distance of the Lax operator. Then we construct a ``dispersionful'' analog…
Hitchin systems, higher Gaudin operators and -matrices
B. Enriquez, V. Rubtsov
We adapt Hitchin's integrable systems to the case of a punctured curve. In the case of $\CC P^{1}$ and -bundles, they are equivalent to systems studied by Garnier. The corr…
Soliton solutions of the classical lattice sine-Gordon system
B. Enriquez
We study the soliton-type solutions of the system introduced by B. Feigin and the author in in [EF]. We show that it reduces to a top-like system, and we study the behaviour of the…