Results 61 to 70 of about 2,889,111 (209)

Peregrine Solitons Beyond the Threefold Limit and Their Two-Soliton Interactions [PDF]

Physical Review Letters, 2018
Within the coupled Fokas-Lenells equations framework, we show explicitly that, in contrast to the expected threefold-amplitude magnification, Peregrine solitons can reach a peak amplitude as high as 5 times the background level. Besides, the interaction of two such anomalous Peregrine solitons can generate a spikelike rogue wave of extremely high peak ...
Chen, Shihua, Ye, Yanlin, Soto-Crespo, Jose M., Grelu, Philippe, Baronio, Fabio   +4 more
openaire   +4 more sources

Harnessing Optical Limiting in Saturable Absorbers for Reconfigurable Spectral Engineering of Ultrafast Fiber Lasers

Laser &Photonics Reviews, EarlyView.
Optical limiting in a nanomaterial‐polymer saturable absorber is harnessed as a functional intracavity degree of freedom, where pump‐controlled photothermal loss continuously reshapes the gain spectrum of rare‐earth ions, enabling non‐mechanical spectral engineering in an ultrafast fiber laser.
Maolin Dai, Weitao Wang, Masahiro Nomura, Sze Yun Set, Shinji Yamashita   +4 more
wiley   +1 more source

New Interaction Solutions of (3+1)-Dimensional KP and (2+1)-Dimensional Boussinesq Equations

Abstract and Applied Analysis, 2015
The consistent tanh expansion (CTE) method has been succeeded to apply to the nonintegrable (3+1)-dimensional Kadomtsev-Petviashvili (KP) and (2+1)-dimensional Boussinesq equations.
Bo Ren, Jun Yu, Xi-Zhong Liu
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

The interaction of two Hopf solitons [PDF]

Physics Letters B, 2000
This Letter deals with topological solitons in an O(3) sigma model in three space dimensions (with a Skyrme term to stabilize their size). The solitons are classified topologically by their Hopf number N. The N=2 sector is studied; in particular, for two solitons far apart, there are three ``attractive channels''.
openaire   +3 more sources

The Rational Solutions and Quasi-Periodic Wave Solutions as well as Interactions of N-Soliton Solutions for 3 + 1 Dimensional Jimbo-Miwa Equation

Advances in Mathematical Physics, 2016
The exact rational solutions, quasi-periodic wave solutions, and N-soliton solutions of 3 + 1 dimensional Jimbo-Miwa equation are acquired, respectively, by using the Hirota method, whereafter the rational solutions are also called algebraic solitary ...
Hongwei Yang, Yong Zhang, Xiaoen Zhang, Xin Chen, Zhenhua Xu   +4 more
doaj   +1 more source

Real‐Time Observation of Soliton Buildup and Self‐Organization in a GHz Harmonic Mode Locked Fiber Laser

Laser &Photonics Reviews, EarlyView.
This image is an experimental recording of the buildup of harmonic mode‐locking in a fiber laser. The horizontal dimension corresponds to one cavity round trip, where the laser field intensity is displayed in a color scale. The vertical dimension is the evolution time in logarithmic scale, spanning from microseconds to seconds.
Qianqian Huang, Aurélien Coillet, Lilong Dai, Zinan Huang, Haochen Tian, Chengbo Mou, Philippe Grelu   +6 more
wiley   +1 more source

The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation

Mathematics
The (2+1)-dimensional integrable Caudrey–Dodd–Gibbon–Kotera–Sawada equation is a higher-order generalization of the Kadomtsev–Petviashvili equation, which can be applied in some physical branches such as the nonlinear dispersive phenomenon. In this paper,
Li-Jun Xu, Zheng-Yi Ma, Jin-Xi Fei, Hui-Ling Wu, Li Cheng   +4 more
doaj   +1 more source

EDITORIAL. Special issue devoted to the International Conference on Complexity of Nonlinear Waves. Highlights in the research into complexity of nonlinear waves; pp. 61–65 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
We reflect highlights of studies into a variety of phenomena reflecting the complexity of underlying nonlinear pro­cesses in a selection of research disciplines in the Centre of Nonlinear Studies (CENS), presented in the International Conference on ...
Jüri Engelbrecht, Arkadi Berezovski, Tarmo Soomere   +2 more
doaj   +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