Results 31 to 40 of about 112,215 (282)

Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions

Boundary Value Problems, 2020
In this article, we study a modified maximum principle approach under condition on the weight of the delay term in the feedback and the weight of the term without delay.
Yisheng Hu, Songhai Qin, Zhibin Liu, Yi Wang   +3 more
doaj   +1 more source

Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]

E-Journal of Analysis and Applied Mathematics, 2020
In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
doaj   +1 more source

How to solve Fokker-Planck equation treating mixed eigenvalue spectrum? [PDF]

, 2013
An analogy of the Fokker-Planck equation (FPE) with the Schr\"odinger equation allows us to use quantum mechanics technique to find the analytical solution of the FPE in a number of cases.
Brics, M., Kaupuzs, J., Mahnke, R.
core   +2 more sources

The Lippmann–Schwinger Formula and One Dimensional Models with Dirac Delta Interactions [PDF]

, 2019
We show how a proper use of the Lippmann–Schwinger equation simplifies the calculations to obtain scattering states for one dimensional systems perturbed by N Dirac delta equations. Here, we consider two situations. In the former, attractive Dirac deltas
A Bohm, C Kittel, C Rothe, D Lessie, F Erman, F Erman, F Erman, IR Lapidus, JE Roberts, JJ Alvarez, JJ Alvarez, JP Antoine, M Belloni, M Calçada, M Gadella, M Gadella, M Reed, MC Fischer, MH Al-Hashimi, O Civitarese, O Civitarese, O Civitarese, O Melsheimer, P Senn, PR Berman, S Albeverio, T Berggren, VE Barlette, YN Demkov   +28 more
core   +1 more source

Dynamical behaviors, chaotic pattern and multiple optical solitons for coupled stochastic Schrödinger–Hirota system in magneto-optic waveguides with multiplicative white noise via Itô calculus

Results in Physics
The primary focus of this study was on exploring the optical soliton solutions and chaotic patterns in magneto-optic waveguides through the coupled stochastic Schrödinger–Hirota equation with multiplicative white noise.
Tianxiu Lu, Lu Tang, Yuanlin Chen, Caiwen Chen   +3 more
doaj   +1 more source

Short distance modification of the quantum virial theorem

Physics Letters B, 2017
In this letter, we will analyse the deformation of a semi-classical gravitational system from minimal measurable length scale. In the semi-classical approximation, the gravitational field will be analysed as a classical field, and the matter fields will ...
Qin Zhao, Mir Faizal, Zaid Zaz
doaj   +1 more source

The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions

Abstract and Applied Analysis, 2013
The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
doaj   +1 more source

Perturbation of One-Dimensional Time-Independent Schrödinger Equation with a Near-Hyperbolic Potential

Axioms, 2022
The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
doaj   +1 more source

Does the nonlinear Schroedinger equation correctly describe beam propagation? [PDF]

, 2013
The parabolic equation (nonlinear Schrödinger equation) that appears in problems of stationary nonlinear beam propagation (self-focusing) is reconsidered.
a, Jirawit, Makhotkin, Matyi, Monaco, Nannarone, Nayak, Platonov, Serafinczuk, Spiga, Windt   +10 more
core   +1 more source

Semiclassical stationary states for nonlinear Schr\"odinger equations under a strong external magnetic field [PDF]

, 2015
We construct solutions to the nonlinear magnetic Schr\"odinger equation $$ \left\{ \begin{aligned} - \varepsilon^2 \Delta_{A/\varepsilon^2} u + V u &= \lvert u\rvert^{p-2} u & &\text{in}\ \Omega,\\ u &= 0 & &\text{on}\ \partial\Omega, \end{aligned}
Di Cosmo, Jonathan, Van Schaftingen, Jean   +1 more
core   +2 more sources