Results 51 to 60 of about 147 (118)

Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation

Advances in Nonlinear Analysis, 2020
In this paper, we study blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard ...
Binhua Feng, Chen Ruipeng, Liu Jiayin
doaj   +1 more source

Infinitely many new multi-bumps solutions for the nonlinear Schrödinger equation

Advanced Nonlinear Studies
In this paper we consider the existence of novel multi-bumps solutions for the following Schrödinger ...
Guo Hui, Bao Meiqi, Wang Tao
doaj   +1 more source

The nonlinear Schrödinger equation in fiber-optic systems

, 2008
AMS classification: Primary 35Q55; Secondary 94A05 ...
SECONDINI, Marco, FORESTIERI, Enrico
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Blow-up solutions to the Hartree-Fock type Schrödinger equation with the critical rotational speed

Advances in Nonlinear Analysis
In this article, we are concerned with the existence, non-existence, and blow-up behavior of normalized ground state solutions for the mass critical Hartree-Fock type Schrödinger equation with rotation i∂tu=−Δu+2V(x)u+2ΩLzu−λu−bu∫RN∣u(y)∣2∣x−y∣2dy,(t,x ...
Tu Yuanyuan, Wang Jun
doaj   +1 more source

Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case

Advances in Nonlinear Analysis, 2017
In this article we investigate both numerically and theoretically the influence of a defect on the blow-up of radial solutions to a cubic NLS equation in dimension 2.
Goubet Olivier, Hamraoui Emna
doaj   +1 more source

High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness

Advances in Nonlinear Analysis
This article deals with the existence of high-energy positive solutions for the following coupled Schrödinger system with critical exponent: −Δu+V1(x)u=μ1u3+βuv2,x∈Ω,−Δv+V2(x)v=βu2v+μ2v3,x∈Ω,u,v∈D01,2(Ω)\left\{\begin{array}{l}-\Delta u+{V}_{1}\left(x)u={\
Guan Wen, Wang Da-Bin, Xie Huafei
doaj   +1 more source

Existence of a Positive Solution to a Nonlinear Scalar Field Equation with Zero Mass at Infinity

Advanced Nonlinear Studies, 2018
We establish the existence of a positive solution to the ...
Clapp Mónica, Maia Liliane A.
doaj   +1 more source

Asymptotic stability of solitary waves for the 1D focusing cubic Schrödinger equation under even perturbations

Forum of Mathematics, Sigma
We establish the full asymptotic stability of solitary waves for the focusing cubic Schrödinger equation on the line under small even perturbations in weighted Sobolev norms.
Yongming Li, Jonas Lührmann
doaj   +1 more source

On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]

Math Ann, 2021
Brandes J, Parsell ST, Poulias C, Shakan G, Vaughan RC.   +4 more
europepmc   +1 more source

© Hindawi Publishing Corp. A NOTE ON ASYMPTOTIC HELIX AND QUANTUM MECHANICAL STRUCTURE

, 2003
Using the formulation of a moving curve, we demonstrate that an asymptotic helix goes over to the linear time-dependent Schrödinger equation as shown by Dmitriyev (2002).
Partha Guha
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