Publications by Andrey Gelash | EPFL Graph Search

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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 surface of deep water. We generate numerically the bi-solitons of the approxima ...

The concept of soliton gas was introduced in 1971 by Zakharov as an infinite collection of weakly interacting solitons in the framework of Korteweg-de Vries (KdV) equation. In this theoretical construction of a diluted (rarefied) soliton gas, solitons with ...

The diversity of experimentally observed nonlinear coherent and partially coherent optical structures, including breathing, zero-dispersion, and switching wave states in driven optical microresonators, is mainly provided by cavity dispersion engineering. R ...

The model underlying physics of guiding light in single-mode fibers-the one-dimensional nonlinear Schr & ouml;dinger equation (NLSE)-reveals a remarkable balance of the fiber dispersion and nonlinearity, leading to the existence of optical solitons. With t ...

The Lugiato-Lefever equation (LLE) is a fundamental nonlinear model of pattern formation in damped-driven optical Kerr cavities with applications ranging from fiber to chip-integrated optical resonators. In standard dimensionless form the LLE describes dyn ...

Andrey Gelash

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Bi-Solitons on the Surface of a Deep Fluid: An Inverse Scattering Transform Perspective Based on Perturbation Theory

Soliton gas: Theory, numerics, and experiments

Coherent Dissipative Structures in Arbitrary Dispersion-Engineered Gallium Phosphide Fabry-Perot Resonators

Manipulation of Strongly Interacting Solitons in Optical Fiber Experiments

Oscillating Turing Rolls as Periodic Orbits of the Lugiato-Lefever Equation