6 papers
Growing of integrable turbulence
D. S. Agafontsev, V. E. Zakharov
We study numerically the integrable turbulence in the framework of the focusing one-dimensional nonlinear Schrodinger equation using a new method -- the "growing of turbulence". We…
Integrable turbulence developing from strongly nonlinear partially coherent waves
D. S. Agafontsev, S. Randoux, P. Suret
We study numerically the integrable turbulence developing from strongly nonlinear partially coherent waves, in the framework of the focusing one-dimensional nonlinear Schrodinger e…
Bound state soliton gas dynamics underlying the noise-induced modulational instability
Andrey Gelash, Dmitry Agafontsev, Vladimir Zakharov +3
We investigate theoretically the fundamental phenomenon of the spontaneous, noise-induced modulational instability (MI) of a plane wave. The long-term statistical properties of the…
Statistical properties of nonlinear stage of modulation instability in fiber optics
Adrien Kraych, Dmitry Agafontsev, Stephane Randoux +1
We present an optical fiber experiment in which we examine the space-time evolution of a modulationally unstable plane wave initially perturbed by a small noise. Using a recirculat…
Strongly interacting soliton gas and formation of rogue waves
A. A. Gelash, D. S. Agafontsev
We study numerically the properties of (statistically) homogeneous soliton gas depending on soliton density (proportional to number of solitons per unit length) and soliton velocit…
Deep-water internal solitary waves near critical density ratio
D. S. Agafontsev, F. Dias, E. A. Kuznetsov
Bifurcations of solitary waves propagating along the interface between two ideal fluids are considered. The study is based on a Hamiltonian approach. It concentrates on values of t…