147 citations · 628 across the 35 of their papers we have counts for
38 papers
Dirichlet energy and focusing NLS condensates of minimal intensity
Marco Bertola, Alexander Tovbis
We consider the family of (poly)continua $\K$ in the upper half-plane that contain a preassigned finite {\it anchor} set . For a given harmonic extern…
Breather gas fission from elliptic potentials in self-focusing media
Gino Biondini, Gennady A. El, Xu-Dan Luo +2
We present an analytical model of integrable turbulence in the focusing nonlinear Schrödinger (fNLS) equation, generated by a one-parameter family of finite-band elliptic potential…
Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case
Alexander Tovbis, Fudong Wang
In this paper, we study the spectral theory of soliton condensates - a special limit of soliton gases - for the focusing NLS (fNLS). In particular, we analyze the kinetic equation…
Statistics of extreme events in integrable turbulence
T. Congy, G. A. El, G. Roberti +3
We use the spectral kinetic theory of soliton gas to investigate the likelihood of extreme events in integrable turbulence described by the one-dimensional focusing nonlinear Schrö…
Non-standard Green energy problems in the complex plane
Abey López-García, Alexander Tovbis
We consider several non-standard discrete and continuous Green energy problems in the complex plane and study the asymptotic relations between their solutions. In the discrete sett…
Singular limits of certain Hilbert-Schmidt integral operators
M. Bertola, E. Blackstone, A. Katsevich +1
In this paper we study the small- spectral asymptotics of an integral operator defined on two multi-intervals and , when the multi-intervals touch each othe…