57 citations · 353 across the 28 of their papers we have counts for
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Bethe Ansatz and the Spectral Theory of affine Lie algebra--valued connections II. The non simply--laced case
Davide Masoero, Andrea Raimondo, Daniele Valeri
We assess the ODE/IM correspondence for the quantum -KdV model, for a non-simply laced Lie algebra . This is done by studying a meromorphic connection w…
Classical W-algebras for gl_N and associated integrable Hamiltonian hierarchies
Alberto De Sole, Victor G. Kac, Daniele Valeri
We apply the new method for constructing integrable Hamiltonian hierarchies of Lax type equations developed in our previous paper, to show that all W-algebras W(gl_N,f) carry such…
A new scheme of integrability for (bi)Hamiltonian PDE
Alberto De Sole, Victor G. Kac, Daniele Valeri
We develop a new method for constructing integrable Hamiltonian hierarchies of Lax type equations, which combines the fractional powers technique of Gelfand and Dickey, and the cla…
Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation
Giuseppe Genovese, Renato Lucà, Daniele Valeri
We study the one dimensional periodic derivative nonlinear Schrödinger (DNLS) equation. This is known to be a completely integrable system, in the sense that there is an infinite s…
Bethe Ansatz and the Spectral Theory of affine Lie algebra-valued connections I. The simply-laced case
Davide Masoero, Andrea Raimondo, Daniele Valeri
We study the ODE/IM correspondence for ODE associated to -valued connections, for a simply-laced Lie algebra . We prove that subdominant solutions t…