50 citations · 102 across the 5 of their papers we have counts for
8 papers
Nonlinear dispersion relation in integrable turbulence
Alexey Tikan, Felicien Bonnefoy, Guillaume Ducrozet +7
The concept of Nonlinear dispersion relation (NDR) is used in various fields of Physics (nonlinear optics, hydrodynamics, hydroelasticity, mechanics, quantum optics, plasma physics…
Nonlinear spectral synthesis of soliton gas in deep-water surface gravity waves
Pierre Suret, Alexey Tikan, Félicien Bonnefoy +9
Soliton gases represent large random soliton ensembles in physical systems that display integrable dynamics at the leading order. Despite significant theoretical developments and o…
Emergent Nonlinear Phenomena in a Driven Dissipative Photonic Dimer
Alexey Tikan, Johann Riemensberger, Kenichi Komagata +8
Emergent phenomena are ubiquitous in nature and refer to spatial, temporal, or spatiotemporal pattern formation in complex nonlinear systems driven out of equilibrium that is not c…
Nonlinear states and dynamics in a synthetic frequency dimension
Aleksandr K. Tusnin, Alexey M. Tikan, Tobias J. Kippenberg
Recent advances in the study of synthetic dimensions revealed a possibility to employ the frequency space as an additional degree of freedom which allows for investigating and expl…
From modulational instability to focusing dam breaks in water waves
Félicien Bonnefoy, Alexey Tikan, François Copie +8
We report water wave experiments performed in a long tank where we consider the evolution of nonlinear deep-water surface gravity waves with the envelope in the form of a large-sca…
Effect of local Peregrine soliton emergence on statistics of random waves in the 1-D focusing Nonlinear Schrödinger equation
Alexey Tikan
The Peregrine soliton is often considered as a prototype of the rogue waves. After recent advances in the semi-classical limit of the 1-D focusing Nonlinear Schrödinger (NLS) equat…