Heterodyne optical time domain reflectometer combined with active loss compensation: A practical tool for investigating fermi pasta ulam recurrence process and …
C Naveau, G Vanderhaegen, P Szriftgiser… - Frontiers in …, 2021 - frontiersin.org
We report recent results obtained with a novel optical fiber experimental setup based on a
heterodyne optical time-domain reflectometer in the context of FPU recurrence process …
heterodyne optical time-domain reflectometer in the context of FPU recurrence process …
Instability of double-periodic waves in the nonlinear Schrödinger equation
DE Pelinovsky - Frontiers in Physics, 2021 - frontiersin.org
It is shown how to compute the instability rates for the double-periodic solutions to the cubic
NLS (nonlinear Schrödinger) equation by using the Lax linear equations. The wave function …
NLS (nonlinear Schrödinger) equation by using the Lax linear equations. The wave function …
“Extraordinary” modulation instability in optics and hydrodynamics
G Vanderhaegen, C Naveau… - Proceedings of the …, 2021 - National Acad Sciences
The classical theory of modulation instability (MI) attributed to Bespalov–Talanov in optics
and Benjamin–Feir for water waves is just a linear approximation of nonlinear effects and …
and Benjamin–Feir for water waves is just a linear approximation of nonlinear effects and …
An application of the rational sine–Gordon method to the Hirota equation
In this study, the analytical solution of the Hirota equation by using the rational sine–Gordon
expansion method (RSGEM) has been investigated. For this purpose, the mentioned model …
expansion method (RSGEM) has been investigated. For this purpose, the mentioned model …
Experimental tweaking of symmetry breaking in recurrent nonlinear modulational instability
We show that the nonlinear stage of the universal phenomenon of modulational instability,
and in particular its recurrent behavior, is deeply affected by arbitrarily weak losses. Indeed …
and in particular its recurrent behavior, is deeply affected by arbitrarily weak losses. Indeed …
A high dimensional evolution model and its rogue wave solution, breather solution and mixed solutions
S Bai, X Yin, N Cao, L Xu - Nonlinear Dynamics, 2023 - Springer
In this study, a bilinear neural network method is used to solve the exact solutions of the (2+
1)-dimensional Kadomtsev–Petviashvili equation, which is a new geophysical fluid …
1)-dimensional Kadomtsev–Petviashvili equation, which is a new geophysical fluid …
Observation of the noise-driven thermalization of the Fermi-Pasta-Ulam-Tsingou recurrence in optical fibers
We report the observation of the thermalization of the Fermi-Pasta-Ulam-Tsingou recurrence
process in optical fibers. We show the transition from a reversible regime to an irreversible …
process in optical fibers. We show the transition from a reversible regime to an irreversible …
Enhancing accuracy of physically informed neural networks for nonlinear Schrödinger equations through multi-view transfer learning
In recent years, significant research efforts have been dedicated to developing solutions for
nonlinear partial differential equations (PDEs) with applications in physics. Among these …
nonlinear partial differential equations (PDEs) with applications in physics. Among these …
The Fermi–Pasta–Ulam–Tsingou recurrence for discrete systems: Cascading mechanism and machine learning for the Ablowitz–Ladik equation
Abstract The Fermi–Pasta–Ulam–Tsingou recurrence phenomenon for the Ablowitz–Ladik
equation is studied analytically and computationally. Wave profiles periodic in the discrete …
equation is studied analytically and computationally. Wave profiles periodic in the discrete …
Rogue waves in the sea: observations, physics, and mathematics
Rogue waves are anomalously high waves that may suddenly form on the sea surface. At
the dawn of the 21st century, they attracted the interest of researchers, from oceanographers …
the dawn of the 21st century, they attracted the interest of researchers, from oceanographers …