Results 21 to 30 of about 1,989,001 (174)

Pöppe triple systems and integrable equations

Partial Differential Equations in Applied Mathematics, 2023
We construct the combinatorial Pöppe triple system, or ternary algebra, that underlies the non-commutative nonlinear Schrödinger (NLS) and modified Korteweg–de Vries (mKdV) hierarchy.
Anastasia Doikou, Simon J.A. Malham, Ioannis Stylianidis, Anke Wiese   +3 more
doaj   +1 more source

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

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

On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]

, 2015
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian, Moro, A., Antonio Moro, Klein, C, Moro, Anotnio, Grava, T., Dubrovin, Boris, Boris Dubrovin, Dubrovin, B., Moro, Antonio, Tamara Grava, Klein, C., Grava, Tamara, Christian Klein   +13 more
core   +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

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

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

Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC [PDF]

, 2011
Peer ...
Kaliyaperumal, Nakkeeran, Kraenkel, R. A., Chow, K. W.   +2 more
core   +2 more sources

Nonlinear Fourier Analysis: Rogue Waves in Numerical Modeling and Data Analysis

Journal of Marine Science and Engineering, 2020
Nonlinear Fourier Analysis (NLFA) as developed herein begins with the nonlinear Schrödinger equation in two-space and one-time dimensions (the 2+1 NLS equation).
Alfred R. Osborne
doaj   +1 more source

Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation. [PDF]

PLoS ONE, 2018
In this paper, we investigate two types of nonlocal soliton equations with the parity-time (PT) symmetry, namely, a two dimensional nonlocal nonlinear Schrödinger (NLS) equation and a coupled nonlocal Klein-Gordon equation.
Wei Liu, Jing Zhang, Xiliang Li
doaj   +1 more source