Results 61 to 70 of about 15,986,815 (176)

Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation

Advances in Mathematical Physics, 2021
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

Color Symmetry Breaking in a Nonlinear Optical Microresonator

Laser &Photonics Reviews, EarlyView.
A two‐color pump drives an integrated microring resonator into spontaneous color symmetry breaking mediated by the nonlinear Kerr effect. Above threshold, one optical color becomes spontaneously dominant while the other is submissive, with the selected output state emerging randomly. These results establish a new form of symmetry breaking in integrated
Luca O. Trinchão, Alekhya Ghosh, Arghadeep Pal, Haochen Yan, Toby Bi, Shuangyou Zhang, Nathalia B. Tomazio, Flore K. Kunst, Lewis Hill, Gustavo S. Wiederhecker, Pascal Del'Haye   +10 more
wiley   +1 more source

Soliton spectral tunneling in dispersion controlled holey fibers [PDF]

, 2008
We design a number of index-guiding holey fibers with relatively simple structure which possess suitable dispersive properties for the observation of soliton spectral tunneling.
Horak, P., Richardson, D.J., Poletti, F.
core   +1 more source

Characterization and Repetition Rate Locking of a 1 GHz Erbium‐Doped ZBLAN Waveguide‐Chip Comb Laser

Laser &Photonics Reviews, EarlyView.
A compact, erbium‐doped ZBLAN waveguide chip mode‐locked laser that self‐starts, delivers stable ultrashort pulses, and repetition rate locked to a 1 GHz radio‐frequency reference. The laser produces near transform‐limited 324 fs pulses and 12 nm bandwidth with low noise and long‐term stability, with potential applications in optical frequency ...
Wen Qi Zhang, Nicolas Bourbeau Hébert, Dale E. Otten, Colin Hall, David G. Lancaster   +4 more
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

ANALYSIS OF THE RESULTS OF COMPUTER SIMULATION N-SOLITON SOLUTIONS OF THE KORTEWEG – DE VRIES EQUATION

Informatika, 2017
The results of computer simulation N-soliton solutions of the Korteweg – de Vries equation with N = 1, 2, 3, 4 are shown. Using numerical experiment the property of conservation of area under the envelope of soliton solutions of the Korteweg – de Vries ...
Y. F. Novik
doaj  

The N-soliton solutions of the n-component generalized Sasa-Satsuma system: Riemann-Hilbert method

Nuclear Physics B
Using the Riemann-Hilbert method, the paper systematically investigates the n-component generalized Sasa-Satsuma system. By utilizing the Tu scheme, we systematically construct the n-component generalized Sasa-Satsuma integrable hierarchy, and obtain the
Zhiguo Ren, Jing Yu, Lin Huang
doaj   +1 more source

Electrospun conducting polymers: recent trends and the transition towards a sustainable future

Polymer International, EarlyView.
This review discusses the electrospinning of conducting polymers, detailing procedures, fibrous morphologies, improved properties, applications in electronics, and challenges, while outlining future directions for nanofibre‐based devices in various fields.
Xenofon Karagiorgis, Sofia Sandhu, Peter J. Skabara, Ravinder Dahiya   +3 more
wiley   +1 more source

A new integrable equation with peakon solutions [PDF]

, 2002
We consider a new partial differential equation recently obtained by Degasperis and Procesi using the method of asymptotic integrability; this equation has a form similar to the Camassa-Holm shallow water wave equation.
Holm, DD, Degasperis, A, Hone, ANW, Degasperis, A., Holm, Darryl D., Hone, Andrew N.W.   +5 more
core   +1 more source

The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions

Abstract and Applied Analysis, 2019
The Cauchy initial value problem of the modified coupled Hirota equation is studied in the framework of Riemann-Hilbert approach. The N-soliton solutions are given in a compact form as a ratio of (N+1)×(N+1) determinant and N×N determinant, and the ...
Siqi Xu
doaj   +1 more source