Results 101 to 110 of about 6,915 (206)

Soliton

Scholarpedia, 2010
Norman Zabusky, Mason A. Porter
openaire   +1 more source

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 6492-6506, 15 May 2026.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +1 more source

Machine Learning Based Automatic Mode-Locking of a Dual-Wavelength Soliton Fiber Laser

Photonics
Recent years have witnessed growing research interest in dual-wavelength mode-locked fiber lasers for their pivotal role in diverse applications and the exploration of nonlinear dynamics.
Qi Yan, Yiwei Tian, Tianqi Zhang, Changjian Lv, Fanchao Meng, Zhixu Jia, Weiping Qin, Guanshi Qin   +7 more
doaj   +1 more source

Weak asymptotic method for the study of propagation and interaction of infinitely narrow delta-solitons

Electronic Journal of Differential Equations, 2003
We present a new method for studying the interaction of solitons for non-integrable Korteweg-de Vries (KdV) type equations with small dispersion and test this method for the KdV equation.
Vladimir G. Danilov, Georgii A. Omel'yanov   +1 more
doaj  

Editorial: Wakefield generation and particle acceleration in high-intensity laser plasma and beam-plasma interactions

Frontiers in Physics, 2023
Amar Prasad Misra, Amol Holkundkar
doaj   +1 more source

Bright and dark solitons in a photonic nonlinear quantum walk: lessons from the continuum

New Journal of Physics
We propose a nonlinear quantum walk model inspired in a photonic implementation in which the polarization state of the light field plays the role of the coin-qubit. In particular, we take profit of the nonlinear polarization rotation occurring in optical
Andreu Anglés-Castillo, Armando Pérez, Eugenio Roldán   +2 more
doaj   +1 more source

Editorial: Nucleation and stability of exotic solitons in condensed matter

Frontiers in Physics, 2023
Valery M. Uzdin, Danny Thonig, Danny Thonig, Börge Göbel, Pavel F. Bessarab, Pavel F. Bessarab   +5 more
doaj   +1 more source

Self‐Creation of Accelerated Temporal Mirrors

Advanced Physics Research
In optics, temporal mirrors can be realized using solitons ‐ stable refractive index barriers propagating at the speed of light that can be probed by weak waves reflecting off the barrier. This approach offers an alternative method for achieving temporal
Oliver Melchert, Surajit Bose, Uwe Morgner, Ihar Babushkin, Ayhan Demircan   +4 more
doaj   +1 more source

Soliton dynamics in the stochastic nonlinear Schrödinger equation with self-phase modulation and multiplicative white noise. [PDF]

Sci Rep
Shehab MF, Ahmed HM, Hussein HH.
europepmc   +1 more source

Combinatorial optimization with Kerr solitons. [PDF]

Sci Adv
Jin Y, Chauhan N, Zang J, Edwards B, Chaudhari P, Aflatouni F, Papp SB.   +6 more
europepmc   +1 more source