253 citations · 898 across the 23 of their papers we have counts for
9 papers · 1 filter
Nonlinear periodic orbit solutions and their bifurcation structure at the origin of soliton hopping in coupled microresonators
Savyaraj Deshmukh, Aleksandr Tusnin, Alexey Tikan +2
Microresonator frequency combs, essential for future integrated optical systems, rely on dissipative Kerr solitons generated in a single microresonator to achieve coherent frequenc…
Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering
Alexey Tikan, Felicien Bonnefoy, Giacomo Roberti +10
Peregrine soliton (PS) is widely regarded as a prototype nonlinear structure capturing properties of rogue waves that emerge in the nonlinear propagation of unidirectional wave tra…
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…
Spontaneous emergence of rogue waves in partially coherent waves: a quantitative experimental comparison between hydrodynamics and optics
Rebecca El Koussaifi, Alexey Tikan, Alessandro Toffoli +3
Rogue waves are extreme and rare fluctuations of the wave field that have been discussed in many physical systems. Their presence substantially influences the statistical propertie…
Universal Peregrine soliton structure in nonlinear pulse compression in optical fiber
A. Tikan, C. Billet, G. El +8
We present experimental evidence of the universal emergence of the Peregrine soliton predicted in the semi-classical (zero-dispersion) limit of the focusing nonlinear Schrödinger e…