Results 11 to 20 of about 2,498 (146)

The Nonlinear Schrödinger Equation Derived From the Fifth-Order Korteweg–de Vries Equation Using Multiple Scales Method

International Journal of Differential Equations
The mathematical models of problems that arise in many branches of science are nonlinear equations of evolution (NLEE). For this reason, NLEE have served as a language in formulating many engineering and scientific problems.
Murat Koparan
doaj   +2 more sources

Optical solitons in birefringent fibers with the generalized coupled space–time fractional non-linear Schrödinger equations

Frontiers in Physics, 2023
The nonlinear Schrödinger (NLS) equation is an ideal model for describing optical soliton transmission. This paper first introduces an integer-order generalized coupled NLS equation describing optical solitons in birefringence fibers.
Lei Fu, Jingjing Li, Hongwei Yang, Huanhe Dong, Xiaofeng Han   +4 more
doaj   +1 more source

Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients [PDF]

, 2020
open access articleMotivated by the limited work performed on the development of computational techniques for solving the nonlinear Schrödinger equation with time-dependent coefficients, we develop a modified Runge-Kutta pair with improved periodicity ...
Anastassi, Zacharias, Caraffini, Fabio, Colreavy-Donnelly, S., Kosti, Athinoula   +3 more
core   +1 more source

Temporal localization of optical waves supported by a copropagating quasiperiodic structure. [PDF]

Nanophotonics
Abstract Research on time crystals concerns the spontaneous breaking of translational symmetry in time, as well as the realization of phenomena and phases known from solid‐state physics in the time domain. Periodically driven systems of massive particles are widely used in these studies.
Yazdani-Kachoei M, Sacha K, Malomed BA.
europepmc   +2 more sources

Propagation of the ordinary and extraordinary modulated optical pulses in a nonlinear Kerr-type birefringent optical waveguide: Analytical description

Results in Optics, 2023
The purpose of this work is to describe theoretically the behavior of modulated pulses in nonlinear birefringent optical waveguides and particularly in the optical fibers, by taking into account the anisotropy of the medium as well as the orientation of ...
Hatou-Yvelin Donkeng, William Kamgaing Mabou, Fabien kenmogne, Marius Blaise Pilah Mbiesset, Chancelor Pokam Nguewawe, David Yemélé   +5 more
doaj   +1 more source

Some novel integration techniques to explore the conformable M-fractional Schrödinger-Hirota equation

Journal of Ocean Engineering and Science, 2022
The current study deals with exact soliton solutions for Schrödinger-Hirota (SH) equation via two modified integration methods. Those methods are known as the improved (G′/G)-expansion method and the Kudryashov method. This model is a generalized version
Asim Zafar, M. Raheel, M. Asif, Kamyar Hosseini, Mohammad Mirzazadeh, Lanre Akinyemi   +5 more
doaj   +1 more source

Nonlinear Schrödinger equations and the universal description of dispersive shock wave structure [PDF]

, 2019
The nonlinear Schrödinger (NLS) equation and the Whitham modulation equations both describe slowly varying, locally periodic nonlinear wavetrains, albeit in differing amplitude-frequency domains.
Congy, Thibault, El, Gennady, Hoefer, Mark, Shearer, Michael   +3 more
core   +1 more source

Numerical Method for Stochastic Nonlinear Schrödinger Equation Driven by Multivariate Gaussian Measure: Algorithms and Applications

Journal of Mathematics, 2023
In this paper, we present a novel Galerkin spectral method for numerically solving the stochastic nonlinear Schrödinger (NLS) equation driven by multivariate Gaussian random variables, including the nonlinear term.
Hongling Xie
doaj   +1 more source

Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow

Open Mathematics, 2023
In this article, the coupled matrix nonlinear Schrödinger (NLS) type equations are gauge equivalent to the equation of Schrödinger flow from R1{{\mathbb{R}}}^{1} to complex Grassmannian manifold G˜n,k=GL(n,C)∕GL(k,C)×GL(n−k,C),{\widetilde{G}}_{n,k}={\rm ...
Zhong Shiping, Zhao Zehui, Wan Xinjie
doaj   +1 more source

Energy shedding during nonlinear self-focusing of optical beams [PDF]

, 2013
Self-focusing of intense laser beams and pulses of light in real nonlinear media is in general accompanied by material losses that require corrections to the conservative Nonlinear Schrödinger equations describing their propagation.
McConnell, G., Norris, G., Oppo, G.-L., Travis, C.   +3 more
core   +2 more sources