Results 81 to 90 of about 23,042 (190)

Q‐Switched Mode‐Locking in Er‐Doped ZrF4‐BaF2‐LaF3‐AlF3‐NaF Fiber Lasers Using Carbon Nanotube–Saturable Absorber and GaSb‐Based Semiconductor‐Saturable Absorber Mirror

Advanced Photonics Research, Volume 6, Issue 9, September 2025.
We compare Q‐switched mode‐locking in Er‐doped ZrF4‐BaF2‐LaF3‐AlF3‐NaF fiber lasers using an aerosol‐synthesized carbon nanotube (CNT)‐saturable absorber with a GaSb‐based semiconductor‐saturable absorber mirror (SESAM). While SESAM enables shorter pulses with higher peak power, CNT absorbers offer tunability and cost‐effectiveness.
Boris Perminov, Aram Mkrtchyan, Yuriy Gladush, Dmitry V. Krasnikov, Albert G. Nasibulin, Maria Chernysheva   +5 more
wiley   +1 more source

Inelastic interaction of nearly equal solitons for the BBM equation

, 2009
This paper is concerned with the interaction of two solitons of nearly equal speeds for the (BBM) equation. This work is an extension of the results obtained in arXiv:0910.3204 by the same authors, addressing the same question for the quartic (gKdV ...
Martel, Yvan, Merle, Frank
core   +4 more sources

Short‐Term Bienenstock‐Cooper‐Munro Learning in Optoelectrically‐Driven Flexible Halide Perovskite Single Crystal Memristors

Small Methods, Volume 9, Issue 9, September 1, 2025.
This paper presents a flexible CsPbBr3 perovskite memristor with synaptic behavior, which is in accordance with the Bienenstock‐Cooper‐Munro (BCM) theory of cortical plasticity, realized directly, similarly to biological experiments. Additionally, this effect can be modulated by visible light, within the framework of BCM theory.
Ivan Matchenya, Anton Khanas, Roman Podgornyi, Daniil Shirkin, Alexey Ekgardt, Nikita Sizykh, Sergey Anoshkin, Dmitry V. Krasnikov, Alexei Yulin, Alexey Zhukov, Albert G. Nasibulin, Ivan G. Scheblykin, Anatoly Pushkarev, Andrei Zenkevich, Juan Bisquert, Alexandr Marunchenko   +15 more
wiley   +1 more source

High-order numerical method for the fractional Korteweg-de Vries equation using the discontinuous Galerkin method

AIMS Mathematics
The fractional Korteweg-de Vries (KdV) equation generalizes the classical KdV equation by incorporating truncation effects within bounded domains, offering a flexible framework for modeling complex phenomena.
Yanhua Gu
doaj   +1 more source

Bilinear Equations and B\"acklund Transformation for Generalized Ultradiscrete Soliton Solution

, 2010
Ultradiscrete soliton equations and B\"acklund transformation for a generalized soliton solution are presented. The equations include the ultradiscrete KdV equation or the ultradiscrete Toda equation in a special case. We also express the solution by the
Daisuke Takahashi, Hidetomo Nagai, Inoue R Iwao S, Isojima S, Kuniba A Takagi T, Nagai H, Shinzawa N   +6 more
core   +1 more source

Faber's socle intersection numbers via Gromov–Witten theory of elliptic curve

Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2698-2707, September 2025.
Abstract The goal of this very short note is to give a new proof of Faber's formula for the socle intersection numbers in the tautological ring of Mg$\mathcal {M}_g$. This new proof exhibits a new beautiful tautological relation that stems from the recent work of Oberdieck–Pixton on the Gromov–Witten theory of the elliptic curve via a refinement of ...
Xavier Blot, Sergey Shadrin, Ishan Jaztar Singh   +2 more
wiley   +1 more source

Time-Fractional KdV Equation for the plasma in auroral zone using Variational Methods [PDF]

, 2010
The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small but finite amplitude electrostatic waves.
Abulwafa, Essam M., El-Wakil, El-Said A., Elshewy, Emad K., Mahmoud, Aber A.   +3 more
core  

A Stable Hybridized Discontinuous Galerkin Method for Solving Some Nonlinear m‐Component Reaction–Diffusion Systems

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12405-12420, August 2025.
ABSTRACT In this paper, we present a stable numerical scheme for solving two‐dimensional m$$ m $$‐component reaction–diffusion systems. The proposed approach utilizes the backward Euler method for temporal discretization and the hybridized discontinuous Galerkin (HDG) method for spatial discretization.
Shima Baharlouei, Reza Mokhtari, Nabi Chegini   +2 more
wiley   +1 more source

Traveling wave solution of fractional KdV-Burger-Kuramoto equation describing nonlinear physical phenomena

AIP Advances, 2014
In this paper, KdV-Burger-Kuramoto equation involving instability, dissipation, and dispersion parameters is solved numerically. The numerical solution for the fractional order KdV-Burger-Kuramoto (KBK) equation has been presented using two-dimensional ...
A. K. Gupta, S. Saha Ray
doaj   +1 more source

The KdV Action and Deformed Minimal Models

, 1992
An action is constructed that gives an arbitrary equation in the KdV or MKdV hierarchies as equation of motion; the second Hamiltonian structure of the KdV equation and the Hamiltonian structure of the MKdV equation appear as Poisson bracket structures ...
Schiff, Jeremy
core   +2 more sources