Results 61 to 70 of about 81,020 (195)

Dynamical structures of optical solitons for highly dispersive perturbed NLSE with β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \beg

Arabian Journal of Mathematics
In this paper, we investigate the highly dispersive perturbed nonlinear Schrödinger equation (NLSE) with β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Eman H. M. Abdullah, H. Ahmed, A. Zaghrout, Amal Ibrahim Ahmed Bahnasy, Wafaa B. Rabie   +4 more
semanticscholar   +1 more source

Highly Dispersive Optical Soliton Perturbation for Complex Ginzburg–Landau Equation, Implementing Three Forms of Self-Phase Modulation Structures with Power Law via Semi-Inverse Variation

Telecom
This paper provides highly dispersive optical soliton solutions to the perturbed complex Ginzburg–Landau equation. The self-phase modulation structures are maintained in three forms, which are derived from the power law of nonlinearity with arbitrary ...
Anjan Biswas, Russell W. Kohl, Milisha Hart-Simmons, Oswaldo González-Gaxiola   +3 more
doaj   +1 more source

Highly Dispersive Optical Solitons with Quadratic-Cubic Nonlinear form of Self-Phase Modulation by Sardar Sub-Equation Approach

Contemporary Mathematics
The highly dispersive optical solitons with a quadratic-cubic form of self-phase modulation structure are derived. The governing model was reduced to an ordinary differential equation by the traveling wave hypothesis.
A. J. Jawad, A. Biswas, Y. Yıldırım, A. Alshomrani   +3 more
semanticscholar   +1 more source

Super cavity solitons and the coexistence of multiple nonlinear states in a tristable passive Kerr resonator

, 2017
Passive Kerr cavities driven by coherent laser fields display a rich landscape of nonlinear physics, including bistability, pattern formation, and localised dissipative structures (solitons). Their conceptual simplicity has for several decades offered an
Anderson, Miles, Coen, Stephane, Erkintalo, Miro, Leo, Francois, Murdoch, Stuart, Wang, Yadong   +5 more
core   +2 more sources

Highly dispersive optical solitons with differential group delay for Sasa-Satsuma equation having multiplicative white noise

Journal of Optics
This paper is about the retrieval of highly dispersive optical solitons for Sasa-Satsuma equation with differential group delay in presence of white noise. There are four integration schemes that make this retrieval possible.
E. Zayed, R. Shohib, M. Alngar, A. Biswas, Y. Yıldırım, A. J. Jawad, A. Alshomrani   +6 more
semanticscholar   +1 more source

Nonlinearizing linear equations to integrable systems including new hierarchies with nonholonomic deformations

, 2009
We propose a scheme for nonlinearizing linear equations to generate integrable nonlinear systems of both the AKNS and the KN classes, based on the simple idea of dimensional analysis and detecting the building blocks of the Lax pair.
Kundu, Anjan
core   +1 more source

Simulation of new waves in applied sciences via Schrödinger equations

Journal of Taibah University for Science
The perturbed chiral nonlinear Schrö dinger equation (PCNLSE) reflects the quantum actions such as quantum pictures of Bohm potential and internal self-potential properties.
Areej Almuneef, Zuhur Alqahtani, E.K. El-Shewy, Mahmoud A. E. Abdelrahman   +3 more
doaj   +1 more source

Tracking a light pulse through a waveguide in space and time [PDF]

, 2000
We present first direct observation of the propagation of a femtosecond laser pulse in space and time through a waveguide structure. With an interferometric photon scanning tunneling microscope (PSTM), the local amplitude and phase of the pulse were ...
Balistreri, M.L.M., Hulst, N.F. van, Korterik, J.P., Kuipers, L.   +3 more
core   +1 more source

Soliton dynamics in gas-filled hollow-core photonic crystal fibers

, 2015
Gas-filled hollow-core photonic crystal fibers offer unprecedented opportunities to observe novel nonlinear phenomena. The various properties of gases that can be used to fill these fibers give additional degrees of freedom for investigating nonlinear ...
Biancalana, Fabio, Saleh, Mohammed F.
core   +2 more sources

On the generation and the nonlinear dynamics of X-waves of the Schroedinger equation

, 2004
The generation of finite energy packets of X-waves is analysed in normally dispersive cubic media by using an X-wave expansion. The 3D nonlinear Schroedinger model is reduced to a 1D equation with anomalous dispersion.
A. P. Prudnikov, C. Conti, C. Itzykson, Claudio Conti, G. Agrawal, G. Valiulis, J. Moloney, S. Longhi, W. Torruellas   +8 more
core   +1 more source