Results 71 to 80 of about 40,499 (216)
Bilinearization of Discrete Soliton Equations and Singularity Confinement
Bilinear forms for some nonlinear partial difference equations(discrete soliton equations) are derived based on the results of singularity confinement.
Grammaticos +14 more
core +1 more source
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 +7 more
wiley +1 more source
On Soliton-type Solutions of Equations Associated with N-component Systems
The algebraic geometric approach to $N$-component systems of nonlinear integrable PDE's is used to obtain and analyze explicit solutions of the coupled KdV and Dym equations.
Ablowitz M. J. +21 more
core +1 more source
Optical Skyrmions with Tunable or Reconfigurable Topology Using Spin‐Decoupled Metaoptics
The work introduces advanced optical elements capable of generating and dynamically reconfiguring complex light patterns known as optical skyrmions. By precisely shaping light polarization at the nanoscale, a single engineered metasurface can generate and manipulate robust and tunable polarization textures in an efficient and scalable way.
Andrea Vogliardi +5 more
wiley +1 more source
Deterministic Fiber‐Optic Spectral Engineering Enables Three‐Color Multiplexed Two‐Photon Microscopy
A simulation‐guided spectral‐engineering framework maps the nonlinear parameter space of a fiber laser platform to identify balanced three‐band excitation states. The resulting 960, 1080, and 1175 nm femtosecond pulses deliver nJ‐level energies for low‐cross‐talk chromatically multiplexed two‐photon microscopy.
Marvin Edelmann +5 more
wiley +1 more source
Multi-soliton dynamics of anti-self-dual gauge fields
We study dynamics of multi-soliton solutions of anti-self-dual Yang-Mills equations for G = GL(2, ℂ) in four-dimensional spaces. The one-soliton solution can be interpreted as a codimension-one soliton in four-dimensional spaces because the principal ...
Masashi Hamanaka, Shan-Chi Huang
doaj +1 more source
A Nonlocal Kac-van Moerbeke Equation Admitting N-Soliton Solutions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Broadband Parametric Amplification in AlGaAs‐on‐Insulator Nanowaveguides
Harnessing the exceptional nonlinearity of AlGaAs‐on‐insulator nanowaveguides, four‐wave‐mixing parametric amplification achieves a record net on‐chip gain of 56 dB and a gain bandwidth exceeding 415 nm at telecom wavelengths. These results establish AlGaAsOI as a powerful platform for compact, high‐performance integrated nonlinear optical ...
Yanjing Zhao +6 more
wiley +1 more source
Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
By N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space.
Na Xiong, Ya-Xuan Yu, Biao Li
doaj +1 more source
This work demonstrates a high‐fidelity stability transfer from an optical reference to a high‐repetition‐rate microcomb using a mode‐locked laser bridge. By employing electro‐optic sampling timing detection, femtosecond‐level synchronization and 10−18‐level fractional frequency stability are achieved.
Changmin Ahn +4 more
wiley +1 more source

