Results 21 to 30 of about 32,605 (214)

A Study of Traveling Wave Structures and Numerical Investigations into the Coupled Nonlinear Schrödinger Equation Using Advanced Mathematical Techniques

Mathematics, 2023
This article explores adapted mathematical methods to solve the coupled nonlinear Schrödinger (C-NLS) equation through analytical and numerical methods.
Taghread Ghannam Alharbi, Abdulghani Alharbi   +1 more
doaj   +1 more source

Blow-up results for systems of nonlinear Schrödinger equations with quadratic interaction [PDF]

Zeitschrift für Angewandte Mathematik und Physik, 2020
We establish blow-up results for systems of NLS equations with quadratic interaction in anisotropic spaces. We precisely show finite time blow-up or grow-up for cylindrical symmetric solutions.
Van Duong Dinh, L. Forcella
semanticscholar   +1 more source

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

Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes

SIAM Journal of Scientific Computing, 2003
Weizhu Bao, Peter A Markowich, Shi Jin
exaly   +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

Normalized solutions of L 2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities [PDF]

Nonlinearity, 2022
In this paper we are concerned with the existence of normalized solutions for nonlinear Schrödinger equations on noncompact metric graphs with localized nonlinearities.
Jack Borthwick, Xiaojun Chang, L. Jeanjean, Nicola Soave   +3 more
semanticscholar   +1 more source

Unconditional uniqueness of higher order nonlinear Schrödinger equations [PDF]

, 2021
summary:We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic fourth order nonlinear Schrödinger equation with the initial data $u_{0}\in X$, where $X\in \{M_{2,q}^{s}(\mathbb {R}), H^{\sigma }(\mathbb {T}), H^{
Klaus, Friedrich, Pattakos, Nikolaos, Kunstmann, Peer   +2 more
core   +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

Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations

, 2020
The paper presents nonlocal reverse-spacetime PT-symmetric multicomponent nonlinear Schrödinger (NLS) equations under a specific nonlocal group reduction, and generates their inverse scattering transforms and soliton solutions by the Riemann-Hilbert ...
Wenxiu Ma
semanticscholar   +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