edp sciencesSep 22
This book provides a clear and systematic introduction to #solitons, spanning foundational theory, analytical techniques and physical applications.Balancing rigorous #analysis with physical insight, it serves both as a valuable reference for researchers and graduate students and as a lucid introduction for newcomers to the field.
More info : https://buff.ly/sHiIHYk
Claudio ContiOct 6, 2024

Observation of 2D dam break flow and a gaseous phase of solitons in a photon fluid

https://arxiv.org/abs/2409.18738

#solitons #opticalsolitons #integrability #quantumfluids #physics

arXiv:2409.18738

We report the observation of a two-dimensional dam break flow of a photon fluid in a nonlinear optical crystal. By precisely shaping the amplitude and phase of the input wave, we investigate the transition from one-dimensional (1D) to two-dimensional (2D) nonlinear dynamics. We observe wave breaking in both transverse spatial dimensions with characteristic timescales determined by the aspect ratio of the input box-shaped field. The interaction of dispersive shock waves propagating in orthogonal directions gives rise to a 2D ensemble of solitons. Depending on the box size, we report the evidence of a dynamic phase characterized by a constant number of solitons, resembling a 1D solitons gas in integrable systems. We measure the statistical features of this gaseous-like phase. Our findings pave the way to the investigation of collective solitonic phenomena in two dimensions, demonstrating that the loss of integrability does not disrupt the dominant phenomenology.

[complexlight.org](https://www.newcomplexlight.org/observation-of-2d-dam-break-flow-and-a-gaseous-phase-of-solitons-in-a-photon-fluid/)

[PhysRevLett.133.183801](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.133.183801)

Observation of 2D dam break flow and a gaseous phase of solitons in a photon fluid

We report the observation of a two-dimensional dam break flow of a photon fluid in a nonlinear optical crystal. By precisely shaping the amplitude and phase of the input wave, we investigate the transition from one-dimensional (1D) to two-dimensional (2D) nonlinear dynamics. We observe wave breaking in both transverse spatial dimensions with characteristic timescales determined by the aspect ratio of the input box-shaped field. The interaction of dispersive shock waves propagating in orthogonal directions gives rise to a 2D ensemble of solitons. Depending on the box size, we report the evidence of a dynamic phase characterized by a constant number of solitons, resembling a 1D solitons gas in integrable systems. We measure the statistical features of this gaseous-like phase. Our findings pave the way to the investigation of collective solitonic phenomena in two dimensions, demonstrating that the loss of integrability does not disrupt the dominant phenomenology.

arXiv.org
KilleansRow 🇺🇲 🇺🇦🍀Aug 20, 2024
Notes on #UAP Discussions : How would you introduce a class on "theoretical advances in novel propulsion systems " ?
if you were going to start with early history your candidates are primarily #Antigravity and #Electrostatics but a basic functional approach might start with concepts of mass levitation and associated phenomenologies like #Superconductivity, #Magnetohydrodynamics, #plasmas and #Solitons. Emphasis should be on the fact that there is more than one path to unconventional propulsion
Hanse-WissenschaftskollegAug 12, 2024
New publication by alumnus of the @hanseias Mohamad R Rahimi Tabar of Sharif University of Technology et al.: "Characterizing time-resolved #stochasticity in non-stationary time series", in: #Chaos, #Solitons and #Fractals https://www.sciencedirect.com/science/article/abs/pii/S0960077924006210?via%3Dihub
Characterizing time-resolved stochasticity in non-stationary time series

Time series often exhibit a combination of long-range drift and short-term stochastic fluctuations. Traditional methods for analyzing such series invo…

Hanse-WissenschaftskollegJul 23, 2024
New publication by alumnus of the @hanseias Yakov Shnir of Belarusian State University et al.: "Large #solitons flattened by small #quantum corrections", in: Arxiv https://arxiv.org/pdf/2405.09262
Show threadKilleansRow 🇺🇲 🇺🇦🍀Jun 22, 2024
...part of the problem is how we bind our concepts of physics. If a particular phenomenology is an epiphenomena in more than two dimensions and includes non linear variables it's almost out of our conceptual reach. There are notable exceptions - like quantum mechanics. Sometimes we generalize and wind up with understanding. #Solitons are a good example. #Quasiparticles are another. But we've barely scratched the surface of what's out there
Nalini JoshiJan 18, 2024
Mathematicians don’t tend to have many PhD students. My advisor Martin D. Kruskal only had 11 students over his long career – but his discoveries were extremely influential… #solitons
Img credit: https://en.wikipedia.org/wiki/Korteweg%E2%80%93De_Vries_equation #mathematics #discovery
Korteweg–De Vries equation - Wikipedia

Francisco R. VillatoroApr 4, 2023
#Blog #Solitons #OpticalSolitons #NonlinearOptics La refracción de un solitón óptico en un gas de solitones https://francis.naukas.com/2023/04/04/la-refraccion-de-un-soliton-optico-en-un-gas-de-solitones/
La refracción de un solitón óptico en un gas de solitones - La Ciencia de la Mula Francis

Se llama gas de solitones a un sistema con gran número de solitones en interacción mutua (en la práctica bastan decenas de solitones). Cuando un solitón de gran amplitud atraviesa […]

La Ciencia de la Mula Francis
Francisco R. VillatoroApr 4, 2023
#Blog #Solitons #OpticalSolitons #NonlinearOptics Observan colisiones de dos y tres solitones en una fibra óptica recirculante https://francis.naukas.com/2023/04/04/observan-colisiones-de-dos-y-tres-solitones-en-una-fibra-optica-recirculante/
Observan colisiones de dos y tres solitones en una fibra óptica recirculante - La Ciencia de la Mula Francis

La fibra óptica es el medio unidimensional por excelencia; gracias al efecto de Kerr se propagan solitones ópticos en este medio (predichos en 1973 y observados por primera vez en […]

La Ciencia de la Mula Francis
Show threadThomas OgdenJan 17, 2023
Soliton propagation in light (‘that singular and beautiful phenomenon’) — https://ogden.eu/optical-solitons
#physics #optics #solitons
Optical Solitons