Results 101 to 110 of about 1,989,001 (174)

Self-similarity And Asymptotic Stability For Coupled Nonlinear Schrödinger Equations In High Dimensions

, 2015
This paper is concerned with systems of coupled Schrödinger equations with polynomial nonlinearities and dimension n<1. We show the existence of global self-similar solutions and prove that they are asymptotically stable in a framework based on weak ...
Villamizar-Roa E.J., Ferreira L.C.F.
core   +1 more source

Inverse scattering for the linear system associated with the coupled Gerdjikov-Ivanov equations

Electronic Journal of Differential Equations
We consider a certain first-order linear system of ordinary differential equations, and we analyze the direct and inverse scattering problems for that linear system.
Ramazan Ercan
doaj  

Thermodynamics of the Heisenberg XXX chain with negative spin

Journal of High Energy Physics
We study the thermodynamics of the isotropic Heisenberg XXX spin chain with negative spin, focusing on the case s = –1. The model is equivalent to the quantum lattice nonlinear Schrödinger (NLS) model and appears as an effective theory in deep inelastic ...
Rong Zhong, Yang-Yang Chen, Kun Hao, Wen-li Yang, Vladimir Korepin   +4 more
doaj   +1 more source

On the double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$

Advanced Nonlinear Studies
This paper investigates the existence and multiplicity of solutions to the following double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$ :ϵps−Δp,Aϵsu+V(x)|u|p−2u−ϕ|u|ps♯−2u=|u|ps*−2u+gx,|u|p|u|p−2u 
He Xian, Liang Sihua, Pucci Patrizia
doaj   +1 more source

On The Schrödinger Equation With Singular Potentials

, 2015
We study the Cauchy problem for the non-linear Schrödinger equation with singular potentials. For the point-mass potential and nonperiodic case, we prove existence and asymptotic stability of global solutions in weak-L p spaces.
Pava J.A., Ferreira L.C.F.
core  

Nucci based soliton structures and nonlinear dynamics of the (3+1) dimensional hyperbolic Schrödinger equation. [PDF]

Sci Rep
Shahbaz A, Abbas M, Higazy M, Yousaf MZ, Ogrenmis M, Birhanu A, Hamed YS.   +6 more
europepmc   +1 more source

Nonlinear schrödinger equations on the half-line with nonlinear boundary conditions

, 2016
In this article, we study the initial boundary value problem for nonlinear Schrödinger equations on the half-line with nonlinear boundary conditions ux(0, t) + λ|u(0, t)|ru(0, t) = 0, λ ∈ ℝ − {0}, r > 0.
Özsarı, Türker, Batal, Ahmet
core  

Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]

Sci Rep
Soliman M, Ramadan ME, Alkhatib S, Ahmed HM.   +3 more
europepmc   +1 more source

Dynamics of kink solitons under additive white noise in the power-law nonlinear Schrödinger equation. [PDF]

Sci Rep
Alsatami KA.
europepmc   +1 more source

Optical and rogue type soliton solutions of the (2+1) dimensional nonlinear Heisenberg ferromagnetic spin chains equation. [PDF]

Sci Rep, 2023
Islam S, Halder B, Refaie Ali A.
europepmc   +1 more source