Rogue waves are observed as light propagates in the extreme nonlinear regime that occurs when a photorefractive ferroelectric crystal is undergoing a structural phase transition. The transmitted spatial light distribution contains bright localized spots of anomalously large intensity that follow a signature long-tail statistics that disappears as the nonlinearity is weakened. The isolated wave events form as out-of-equilibrium response and disorder enhance the Kerr-saturated nonlinearity at the critical point. Self-similarity associable to the individual observed filaments and numerical simulations of the generalized nonlinear Schrödinger equation suggests that dynamics of soliton fusions and scale invariance can microscopically play an important role in the observed rogue intensities and statistics.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevLett.115.093901 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
The fractional nonlinear Schrödinger equation: Soliton turbulence, modulation instability, and extreme rogue waves.
Chaos
January 2025
KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
In this paper, we undertake a systematic exploration of soliton turbulent phenomena and the emergence of extreme rogue waves within the framework of the one-dimensional fractional nonlinear Schrödinger (FNLS) equation, which appears in many fields, such as nonlinear optics, Bose-Einstein condensates, plasma physics, etc. By initiating simulations with a plane wave modulated by small noise, we scrutinized the universal regimes of non-stationary turbulence through various statistical indices. Our analysis elucidates a marked increase in the probability of rogue wave occurrences as the system evolves within a certain range of Lévy index α, which can be ascribed to the broadened modulation instability bandwidth.
View Article and Find Full Text PDFSoliton and rogue wave excitations in the Chen-Lee-Liu derivative nonlinear Schrödinger equation with two complex PT-symmetric potentials.
Chaos
January 2025
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China.
We demonstrate that fundamental nonlinear localized modes can exist in the Chen-Lee-Liu equation modified by several parity-time (PT) symmetric complex potentials. The explicit formula of analytical solitons is derived from the physically interesting Scarf-II potential, and families of spatial solitons in internal modes are numerically captured under the optical lattice potential. By the spectral analysis of linear stability, we observe that these bright solitons can remain stable across a broad scope of potential parameters, despite the breaking of the corresponding linear PT-symmetric phases.
View Article and Find Full Text PDFCircuits and mechanisms for TMS-induced corticospinal waves: Connecting sensitivity analysis to the network graph.
PLoS Comput Biol
December 2024
Department of Biomedical Engineering, Duke University, Durham, North Carolina, United States of America.
Transcranial magnetic stimulation (TMS) is a non-invasive, FDA-cleared treatment for neuropsychiatric disorders with broad potential for new applications, but the neural circuits that are engaged during TMS are still poorly understood. Recordings of neural activity from the corticospinal tract provide a direct readout of the response of motor cortex to TMS, and therefore a new opportunity to model neural circuit dynamics. The study goal was to use epidural recordings from the cervical spine of human subjects to develop a computational model of a motor cortical macrocolumn through which the mechanisms underlying the response to TMS, including direct and indirect waves, could be investigated.
View Article and Find Full Text PDFExploring N-soliton solutions, multiple rogue wave and the linear superposition principle to the generalized hirota satsuma-ito equation.
Sci Rep
October 2024
Department of Physics, College of Khurma University College, Taif University, Taif, 21944, Saudi Arabia.
Article Synopsis
- - This work explores a rogue wave solution strategy based on the Hirota bilinear hypothesis to develop various soliton wave solutions for the generalized Hirota-Satsuma-Ito condition.
- - The study examines multiple types of soliton waves, including first to fourth-order waves, and analyzes properties related to lump solutions and the Hessian lattice.
- - Results are validated through simulations that produce 3D, density, and 2D graphs, suggesting new insights into traveling wave theory.
Modulational instability, generation, and evolution of rogue waves in the generalized fractional nonlinear Schrödinger equations with power-law nonlinearity and rational potentials.
Chaos
October 2024
KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
Article Synopsis
- This paper explores the properties of modulational instability (MI) and rogue waves (RWs) using generalized fractional nonlinear Schrödinger (FNLS) equations with rational potentials, focusing on the relationship between wavenumber and instability growth rates.
- The study confirms through numerical simulations that MI occurs in focusing conditions and reveals how certain time-dependent potentials lead to controllable RWs in both cubic and quintic FNLS equations.
- Additionally, it investigates the generation of higher-order RWs and identifies the conditions for their emergence, providing insights into the interaction between system parameters and potentials, which could inform future nonlinear wave research.
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!