Results 31 to 40 of about 134 (115)

On the derivation of the wave kinetic equation for NLS

Forum of Mathematics, Pi, 2021
A fundamental question in wave turbulence theory is to understand how the wave kinetic equation describes the long-time dynamics of its associated nonlinear dispersive equation.
Yu Deng, Zaher Hani
doaj   +1 more source

On the Decay of Solutions to a Class of Hartree Equations [PDF]

, 2019
[Venkov George; Венков Георги]2010 Mathematics Subject Classification: 35Q55, 34G20 ...
Tarulli, Mirko, Venkov, George
core  

Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening

Advances in Nonlinear Analysis
The Maxwell-Bloch system of equations with inhomogeneous broadening is studied, and the local and global well-posedness of the corresponding initial-boundary value problem is established by taking advantage of the integrability of the system and making ...
Biondini Gino, Prinari Barbara, Zhang Zechuan   +2 more
doaj   +1 more source

Normalized solutions for a class of scalar field equations involving mixed fractional Laplacians

Advanced Nonlinear Studies, 2022
The purpose of this article is to establish sharp conditions for the existence of normalized solutions to a class of scalar field equations involving mixed fractional Laplacians with different orders.
Luo Tingjian, Hajaiej Hichem
doaj   +1 more source

The boson star equation with Hartree type non-linearity: global existence in H12(R2) [PDF]

, 2019
[Georgiev Vladimir; Георгиев Владимир]; [Shakarov Boris; Шакаров Борис]2010 Mathematics Subject Classification: 35Q55, 35Q85 ...
Gueorguiev, Vladimir Simeonov, Georgiev, Vladimir, Shakarov, Boris   +2 more
core  

Nonlinear nonlocal elliptic problems in ℝ3: existence results and qualitative properties

Demonstratio Mathematica
We consider the following nonlinear nonlocal elliptic problem: −a+b∫R3∣∇ψ∣2dxΔψ+λψ=∫R3G(ψ(y))∣x−y∣αdyG′(ψ),x∈R3,-\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}{| \nabla \psi | }^{2}{\rm{d}}x\right)\Delta \psi +\lambda \psi =\left(\mathop{\int ...
Lü Dengfeng, Dai Shu-Wei
doaj   +1 more source

Finite difference scheme for a high order nonlinear Schrödinger equation with localized damping

, 2019
In this work we present a finite difference scheme used to solve a High order Nonlinear Schrödinger Equation. These equations can model the propagation of solitons travelling in fiber optics ([3], [11]).
SEPÚLVEDA C., Mauricio A., CAVALCANTI, Marcelo M., VÉJAR ASEM, Rodrigo, CORRÊA, Wellington J.   +3 more
core   +1 more source

Nehari-type ground state solutions for a Choquard equation with doubly critical exponents

Advances in Nonlinear Analysis, 2020
This paper deals with the following Choquard equation with a local nonlinear perturbation:
Chen Sitong, Tang Xianhua, Wei Jiuyang
doaj   +1 more source

Effects of Brownian noise strength on new chiral solitary structures

Journal of Low Frequency Noise, Vibration and Active Control, 2023
In this paper, we investigate the nonlinear Chiral Schrödinger equation (CNLSE) in two dimensions where noise term affected randomly with time. This equation characterized some edges states of fractional-Hall Effect features in quantum.
Yousef F Alharbi, Emad K El-Shewy, Mahmoud AE Abdelrahman   +2 more
doaj   +1 more source

Sharp threshold for global existence and blowup in the focusing nonlinear Schrödinger equation with inverse-square potential

Advances in Nonlinear Analysis
This paper examines the focusing nonlinear Schrödinger equation with an inverse-square potential in RN(N≥3) ${\mathbb{R}}^{N} \left(N\ge 3\right)$ , where the nonlinear exponent lies between the mass-critical and energy-subcritical regimes.
Lin Qiang, Chen Shaohua
doaj   +1 more source