Long-time behavior of solutions for a system of \(N\)-coupled nonlinear dissipative half-wave equations
type: Item
instance of: scholarly article
title: Long-time behavior of solutions for a system of \(N\)-coupled nonlinear dissipative half-wave equations
zbMATH Open document ID: 1480.35026
author: Brahim Alouini
published in: Analysis (München)
publication date: 2021-12-18T00:00:00Z
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35G55
Mathematics Subject Classification ID: 76B03
zbMATH DE Number: 7449478
zbMATH Keywords: asymptotic behavior
zbMATH Keywords: global attractor
zbMATH Keywords: systems of nonlinear dispersive fractional Schrödinger-type equations
zbMATH Keywords: cubic nonlinearities
MaRDI profile type: Publication
full work available at URL: anly-2021-0009
OpenAlex ID: W3164778467
cites work: Q5318420
cites work: Asymptotic behavior of solutions for a class of two-coupled nonlinear fractional Schrödinger equations
cites work: Global attractors for damped semilinear wave equations.
cites work: Nonlinear Schrödinger evolution equations
cites work: A note on limiting cases of sobolev embeddings and convolution inequalities
cites work: Decoupled local/global energy-preserving schemes for the \(N\)-coupled nonlinear Schrödinger equations
cites work: Q4434430
cites work: The attractor of the dissipative coupled fractional Schrödinger equations
cites work: The ground states for theNcoupled nonlinear fractional Schrödinger equations
cites work: Periodic waves for a system of coupled, higher order nonlinear Schrödinger equations with third order dispersion
cites work: Introduction to the theory of infinite-dimensional dissipative systems. Transl. from the Russian by Constantin I. Chueshov, edited by Maryna B. Khorolska
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications
cites work: The cubic Szegő equation
cites work: Effective integrable dynamics for a certain nonlinear wave equation
cites work: Finite dimensional global attractor for a fractional nonlinear Schrödinger equation
cites work: Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation
cites work: EXISTENCE OF THE GLOBAL SMOOTH SOLUTION TO A FRACTIONAL NONLINEAR SCHR&#214;DINGER SYSTEM IN ATOMIC BOSE-EINSTEIN CONDENSATES
cites work: On fractional Schrödinger equations in Sobolev spaces
cites work: The global solution for a class of systems of fractional nonlinear Schrödinger equations with periodic boundary condition
cites work: A fractional Moser-Trudinger type inequality in one dimension and its critical points.
cites work: Nondispersive solutions to the \(L ^{2}\)-critical half-wave equation
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Global attractor for a class of coupled nonlinear Schrödinger equations
cites work: Analysis.
cites work: A class of coupled nonlinear Schrödinger equations: Painlevé property, exact solutions, and application to atmospheric gravity waves
cites work: Q3645637
cites work: On critical cases of Sobolev's inequalities
cites work: First and second order approximations for a nonlinear wave equation
cites work: Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors
cites work: Square roots of elliptic operators and Hardy spaces
cites work: On the existence and stability of standing waves for 2-coupled nonlinear fractional Schrödinger system
cites work: Critical and subcritical fractional Trudinger-Moser-type inequalities on \(\mathbb{R}\)
cites work: Structure of the set of stationary solutions of the navier‐stokes equations
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: Q3710881
cites work: An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors
cites work: Q3463084
cites work: Control of dark and anti-dark solitons in the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system
DOI: 10.1515/ANLY-2021-0009
Recommended article: Long‐time behaviour of solutions of a system of nonlinear wave equations
Recommended article: Long-time asymptotic behaviors of solutions of \(N\)-dimensional dissipative partial differential equations
Recommended article: Long-wave asymptotics of the solution of a nonlinear system of equations with small dissipation
Recommended article: Long time behavior of strongly damped nonlinear wave equations
Recommended article: Q3766158
Recommended article: Q4901936
Recommended article: On the long time behaviour of solutions to dissipative wave equations in \(\mathbb{R}^{2}\)
Recommended article: Long time behavior for damped generalized coupled nonlinear wave equations. I: Bounded domain
Recommended article: Large time behavior of solutions for a system of nonlinear damped wave equations
Recommended article: Long-time behavior of solutions to a nonlinear hyperbolic relaxation system
description: scientific article; zbMATH DE number 7449478