Results 31 to 40 of about 3,339,817 (343)

Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law

open access: yesApplied Sciences, 2019
In this paper, the cubic-quartic nonlinear Schrödinger and resonant nonlinear Schrödinger equation in parabolic law media are investigated to obtain the dark, singular, bright-singular combo and periodic soliton solutions. Two powerful methods, the m + G
Wei Gao   +4 more
semanticscholar   +1 more source

Some Spectral Properties of Schrödinger Operators on Semi Axis

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
The main aim of this work is to investigate some spectral properties of Schrödinger operators on semi axis. We first present the Schrödinger equation with a piecewise continuous potential function q so that the problem differs from the classical ...
İbrahim Erdal
doaj   +1 more source

On the asymptotically cubic generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbation

open access: yesFrontiers in Physics, 2023
In this paper, we consider the non-existence and existence of solutions for a generalized quasilinear Schrödinger equation with a Kirchhoff-type perturbation.
Guofa Li   +3 more
doaj   +1 more source

Fractional Schrödinger equation. [PDF]

open access: yesPhysical review. E, Statistical, nonlinear, and soft matter physics, 2002
Some properties of the fractional Schrödinger equation are studied. We prove the Hermiticity of the fractional Hamilton operator and establish the parity conservation law for fractional quantum mechanics.
N. Laskin
semanticscholar   +1 more source

Qualitative analysis of stochastic Schrödinger–Hirota equation in birefringent fibers with spatiotemporal dispersion and parabolic law nonlinearity

open access: yesResults in Physics, 2023
In this paper, the stochastic Schrödinger–Hirota equation in birefringent fibers with spatiotemporal dispersion and parabolic law nonlinearity is studied, which is usually used to describe the mathematical model of optical soliton propagation in ...
Chen Peng, Lu Tang, Zhao Li, Dan Chen
doaj  

PT symmetry in a fractional Schrödinger equation [PDF]

open access: yes, 2016
We investigate the fractional Schrödinger equation with a periodic ‐symmetric potential. In the inverse space, the problem transfers into a first‐order nonlocal frequency‐delay partial differential equation.
Yiqi Zhang   +7 more
semanticscholar   +1 more source

Soliton Equations Extracted from the Noncommutative Zero-Curvature Equation [PDF]

open access: yesProg.Theor.Phys. 105 (2001) 1045-1057, 2001
We investigate the equation where the commutation relation in 2-dimensional zero-curvature equation composed of the algebra-valued potentials is replaced by the Moyal bracket and the algebra-valued potentials are replaced by the non-algebra-valued ones with two more new variables.
arxiv   +1 more source

The generalized nonlinear Schrödinger-like equation of cosmogonical body forming: Justification and determination of its particular solutions

open access: yesPartial Differential Equations in Applied Mathematics, 2022
This work justifies the generalized Schrödinger-like equation with logarithmic nonlinearity in the statistical theory of cosmogonical body formation. Within the framework of this theory, the models and evolution equations of the statistical mechanics ...
Alexander M. Krot
doaj  

Energy decay rate of multidimensional inhomogeneous Landau–Lifshitz–Gilbert equation and Schrödinger map equation on the sphere

open access: yesAdvances in Difference Equations, 2018
We consider the multidimensional dimensional inhomogeneous Landau–Lifshitz–Gilbert (ILLG) equation and its degenerate case, the Schrödinger map equation.
Penghong Zhong, Chao Zhang, Fengong Wu
doaj   +1 more source

Solving a nonlinear fractional Schrödinger equation using cubic B-splines

open access: yesAdvances in Difference Equations, 2020
We study the inhomogeneous nonlinear time-fractional Schrödinger equation for linear potential, where the order of fractional time derivative parameter α varies between 0 < α < 1 $0 < \alpha < 1$ .
M. Erfanian   +3 more
doaj   +1 more source

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