4 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…
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…
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 potentia…
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 SchrÃ…