Results 61 to 70 of about 2,979 (187)

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Bifurcation analysis and phase portraits for chiral solitons with bohm potential in quantum hall effect

MethodsX
This paper presents a comprehensive bifurcation analysis and phase portrait investigation of chiral solitons governed by the chiral nonlinear Schrödinger equation with Bohm potential in the Quantum Hall Effect framework.
Lu Tang, Yakup Yildirim, Ahmed H. Arnous, Ahmed Shaker Mahmood, Ibrahim Zeghaiton Chaloob, Anjan Biswas   +5 more
doaj   +1 more source

Strain Imaging of GaAs by Stimulated Raman Scattering Microscopy

Journal of Raman Spectroscopy, Volume 57, Issue 8, Page 1387-1391, August 2026.
Telecom‐wavelength stimulated Raman scattering (SRS) microscopy is developed for high‐throughput, nondestructive characterization of gallium arsenide (GaAs). By overcoming optical absorption limits of conventional Raman systems, this technique enables precise visualization of LO phonon frequency variations (< 0.2‐cm −1 precision).
Yuki Sano, Yasuyuki Ozeki
wiley   +1 more source

Optical Soliton Solutions of the (3+1)-Dimensional Stochastic Nonlinear Schrödinger Equation via the Sine-Gordon Equation Method

Journal of Mathematical Sciences and Modelling
This paper addresses the $(3+1)$-dimensional nonlinear Schrödinger equation in the presence of multiplicative white noise, which models the impact of stochastic perturbations on the propagation of nonlinear optical waves in dispersive media.
Yakup Yıldırım
doaj   +1 more source

Phase shift, amplification, oscillation and attenuation of solitons in nonlinear optics

Journal of Advanced Research, 2019
In nonlinear optics, the soliton transmission in different forms can be described with the use of nonlinear Schrödinger (NLS) equations. Here, the soliton transmission is investigated by solving the NLS equation with the reciprocal of the group velocity ...
Weitian Yu, Qin Zhou, Mohammad Mirzazadeh, Wenjun Liu, Anjan Biswas   +4 more
doaj   +1 more source

Octave‐Spanning, Deterministic Single Soliton Generation in 4H‐Silicon Carbide‐On‐Insulator Microring Resonators

Laser &Photonics Reviews, Volume 20, Issue 15, 7 August 2026.
The miniaturization of metrology and precision spectroscopy systems requires robust, turn‐key microcombs with broad bandwidth, low threshold, and high efficiency. Here, high‐Q, dispersion‐engineered microresonators in a high‐confinement nonlinear SiC platform, combined with waveguide‐enabled thermal management and laser cooling, enable deterministic ...
Yi Zheng, Liping Zhou, Chengli Wang, Yanjing Zhao, Ailun Yi, Kresten Yvind, Xin Ou, Minhao Pu   +7 more
wiley   +1 more source

ESA Swarm Satellites Plasma Density Products: Comparison and Validation Against Incoherent Scatter Radars Observations

Space Weather, Volume 24, Issue 8, August 2026.
Abstract The European Space Agency's Swarm mission has provided over a decade of continuous in situ measurements of the topside ionospheric plasma. With the release of various official plasma density products and the development of several calibration methods, selecting the most reliable data set has become an important issue for the scientific ...
Alessio Pignalberi, Artem Smirnov, Chao Xiong, Vladimir Truhlik, Roberta Forte, Michael Pezzopane, Vincenzo Ventriglia, Luca Spogli, Lucilla Alfonsi   +8 more
wiley   +1 more source

Implementation of an Active Control System for Kerr Optical Soliton Frequency Comb Based on FPGA

Chinese Journal of Magnetic Resonance
Due to their millimeter-scale size and low pump power threshold, Kerr optical soliton frequency combs have emerged as a key technology for chip-scale optical atomic clock research.
LIU Kangqi, LI Chenhong, QU Mingfei, WANG Pengfei, ZHAO Feng, KANG Songbai   +5 more
doaj  

Temperature evolution of the high‐harmonic magnetic modulations in DyFeO3

Journal of Applied Crystallography, Volume 59, Issue 4, Page 1332-1337, August 2026.
The temperature evolution of the high‐harmonic incommensurate magnetic ordering of Dy3+ in DyFeO3 orthoferrite is compared with the literature results on the soliton lattice of TbFeO3 observed in an external magnetic field.We report on the temperature evolution of magnetic satellites associated with the incommensurate magnetic ordering of Dy3+ ions in ...
Piotr Fabrykiewicz, Dnyaneshwar R. Bhosale, Martin Meven, Astrid Schneidewind, Karin Schmalzl, Michał Stękiel   +5 more
wiley   +1 more source

Extra-Cavity Modulation of a Quartic Soliton with Negative Fourth-Order Dispersion

Photonics
Quartic solitons in ultrafast fibre lasers (intra-cavity optical fibre modulation systems) have been theoretically and experimentally analysed in recent years. However, there are few reports about extra-cavity modulating quartic solitons.
Dayu Wang, Daqian Tang, Yangyang Peng, Junxiao Zhan, Haoming Wang, Yan Zhou   +5 more
doaj   +1 more source