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Rogue waves from noise-induced modulational instability of a plane wave
D. S. Agafontsev
In the framework of the one-dimensional nonlinear Schrodinger equation (1D-NLSE) of the focusing type, the present paper studies numerically rogue waves (RWs) that emerge in the no…
Spontaneous modulational instability of elliptic periodic waves: the soliton condensate model
D. S. Agafontsev, T. Congy, G. A. El +3
We use the spectral theory of soliton gas for the one-dimensional focusing nonlinear Schrödinger equation (fNLSE) to describe the statistically stationary and spatially homogeneous…
Multisoliton interactions approximating the dynamics of breather solutions
D. S. Agafontsev, A. A. Gelash, S. Randoux +1
Breather solutions are considered to be generally accepted models of rogue waves. However, breathers are not localized, while wavefields in nature can generally be considered as lo…
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…
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…