Results 21 to 30 of about 25,004 (307)

Bifurcation, chaotic pattern and optical soliton solutions of generalized nonlinear Schrödinger equation

Results in Physics, 2023
This article studies the generalized nonlinear Schrödinger equation, which is used to simulate the propagation model of optical pulses in Non-Kerr medium.
Kun Zhang, Zhao Li
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Approximate Nonlocal Symmetries for a Perturbed Schrödinger Equation with a Weak Infinite Power-Law Memory

AppliedMath, 2022
A nonlocally perturbed linear Schrödinger equation with a small parameter was derived under the assumption of low-level fractionality by using one of the known general nonlocal wave equations with an infinite power-law memory.
Stanislav Yu. Lukashchuk
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The Approximation Property of a One-Dimensional, Time Independent Schrödinger Equation with a Hyperbolic Potential Well

Mathematics, 2020
A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
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Derivation of a dissipative Schrödinger equation VI: the Caldirola-Kanai equation [PDF]

Revista Brasileira de Ensino de Física
In this paper, our main objective is to derive the Caldirola-Kanai equation from first principles and present some analytical solutions to it. To do so, we will extend the axioms of the derivation of the Schrödinger equation and, thus, present the ...
Olavo L. Silva Filho, Marcello Ferreira
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Derivation and Physical Meaning of the Schrodinger Equation of a Particle in One Dimensional Space

JPFT (Jurnal Pendidikan Fisika dan Teknologi), 2022
Research has been carried out to determine the physical meaning and derivation of the Schrodinger equation with the literature study research method. Based on the research results obtained through data processing in the form of information obtained from
Joko Krismanto Harianja
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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
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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
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Schrodinger equation in momentum space

Journal of Physics A: Mathematical and General, 1979
A differential equation in momentum space is derived for the case of an attractive Coulomb potential. The bound-state energies and the momentum eigenfunctions are shown to arise from this differential equation in a simple fashion. The zero-energy partial-wave momentum eigenfunctions are also derived.
openaire   +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
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Schrodinger Equation for Nanoscience

, 2003
3 ...
Marciak-Kozlowska, J., Kozlowski, M.
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