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 the complex plane d 2 y d x 2 - x 4 + t x 2 + 2 J x y = Λ y , with certain boundar ...

Article GUID: 38983592

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 show that when the domain is a disk and the soliton density is an analytic function, then the corres ...

Article GUID: 37027854