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Exactly Solvable Anharmonic Oscillator, Degenerate Orthogonal Polynomials and Painlevé II

Author(s): Bertola M; Chavez-Heredia E; Grava T;

Using WKB analysis, the paper addresses a conjecture of Shapiro and Tater on the similarity between two sets of points in the complex plane; on one side is the set the values of t ∈ C for which the spectrum of the quartic anharmonic oscillator in th ...

Article GUID: 38983592


Soliton Shielding of the Focusing Nonlinear Schrödinger Equation

Author(s): Bertola M; Grava T; Orsatti G;

We first consider a deterministic gas of N solitons for the focusing nonlinear Schrödinger (FNLS) equation in the limit N?8 with a point spectrum chosen to interpolate a given spectral soliton density over a bounded domain of the complex spectral plane. We ...

Article GUID: 37027854


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