23 citations · 35 across the 6 of their papers we have counts for
5 papers · 1 filter
Eigenvalue-Based Approach to Manipulate and Reconstruct Nonlinear Pulses: Towards Soliton Tomography
Sergey Dremov, Rustam Mullyadzhanov, Andrey Gelash
Soliton content of nonlinear pulses of different physical nature is universally characterized by a discrete set of eigenvalues. In an ideal channel governed by the nonlinear Schrod…
Manipulation of strongly interacting solitons in optical fiber experiments
Alexandre Mucci, Pierre Suret, François Copie +3
The model underlying physics of guiding light in single-mode fibers -- the one-dimensional nonlinear Schrödinger equation (NLSE), reveals a remarkable balance of the fiber dispersi…
Bi-solitons on the surface of a deep fluid: an inverse scattering transform perspective based on perturbation theory
Andrey Gelash, Sergey Dremov, Rustam Mullyadzhanov +1
We investigate theoretically and numerically the dynamics of long-living oscillating coherent structures - bi-solitons - in the exact and approximate models for waves on the free s…
Numerical direct scattering transform for breathers
I. Mullyadzhanov, A. Gudko, R. Mullyadzhanov +1
We consider the model of the focusing one-dimensional nonlinear Schrödinger equation (fNLSE) in the presence of an unstable constant background, which exhibits coherent solitary wa…
Solitons in a box-shaped wavefield with noise: perturbation theory and statistics
Rustam Mullyadzhanov, Andrey Gelash
We investigate the fundamental problem of the nonlinear wavefield scattering data corrections in response to a perturbation of initial condition using inverse scattering transform…