23 citations · 35 across the 6 of their papers we have counts for
6 papers
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…
Direct scattering transform: catch soliton if you can
Andrey Gelash, Rustam Mullyadzhanov
Direct scattering transform of nonlinear wave fields with solitons may lead to anomalous numerical errors of soliton phase and position parameters. With the focusing one-dimensiona…