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Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach

Author(s): Bertola M; Blackstone E; Katsevich A; Tovbis A;

In this paper we study the spectra of bounded self-adjoint linear operators that are related to finite Hilbert transforms H L : L 2 ( [ b L , 0 ] ) → L 2 ( [ 0 , b R ] ) and H R : L 2 ( [ 0 , b R ] ) → L 2 ( [ b L , 0 ] ) . These operato ...

Article GUID: 32684912


Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation.

Author(s): Tikan A, Billet C, El G, Tovbis A, Bertola M, Sylvestre T, Gustave F, Randoux S, Genty G, Suret P, Dudley JM

Phys Rev Lett. 2017 Jul 21;119(3):033901 Authors: Tikan A, Billet C, El G, Tovbis A, Bertola M, Sylvestre T, Gustave F, Randoux S, Genty G, Suret P, Dudley JM

Article GUID: 28777604


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