Results 11 to 20 of about 19,010 (265)
Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons [PDF]
Alfarama Journal of Basic & Applied Sciences, 2020 In this article we investigated the modulation of nonlinear ion acoustic waves in a weakly relativistic, warm, unmagnetized and adiabatic plasma whose constitutes are ion fluid and superthermally distributed electrons using the multiple scales approach ...
Salah El-Labany +3 more
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The analytic solutions of Schrödinger equation with Cubic-Quintic nonlinearities
Results in Physics, 2018 This paper deals with the nonlinear Schrödinger equation with Cubic-Quintic nonlinearities. After transforming the non-autonomous nonlinear Schrödinger equation into a stationary equation by adopting the BPVK idea, we give the classification of the ...
Chun-Yan Wang
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ON THE LOGARITHMIC SCHRÖDINGER EQUATION [PDF]
Communications in Contemporary Mathematics, 2014 In the framework of the nonsmooth critical point theory for lower semi-continuous functionals, we propose a direct variational approach to investigate the existence of infinitely many weak solutions for a class of semi-linear elliptic equations with logarithmic nonlinearity arising in physically relevant situations.
Pietro D'Avenia +2 more
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An algorithm for fractional Schrödinger equation in case of Morse potential
AIP Advances, 2020 Based on methods of numerical integration and Riemann–Liouville definition of the fractional derivatives, we find a numerical algorithm to find solutions of the time independent fractional Schrödinger equation for Morse potential or the quantum ...
Marwan Al-Raeei, Moustafa Sayem El-Daher
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Open Mathematics, 2023 In this article, the coupled matrix nonlinear Schrödinger (NLS) type equations are gauge equivalent to the equation of Schrödinger flow from R1{{\mathbb{R}}}^{1} to complex Grassmannian manifold G˜n,k=GL(n,C)∕GL(k,C)×GL(n−k,C),{\widetilde{G}}_{n,k}={\rm ...
Zhong Shiping, Zhao Zehui, Wan Xinjie
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Time Fractional Schrodinger Equation Revisited
Advances in Mathematical Physics, 2013 The time fractional Schrodinger equation (TFSE) for a nonrelativistic particle is derived on the basis of the Feynman path integral method by extending it initially to the case of a “free particle” obeying fractional dynamics, obtained by replacing the ...
B. N. Narahari Achar +2 more
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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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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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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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The Schrodinger Equation [PDF]
, 2011 In this chapter we turn to a solution of the Schrodinger equation for a simple one dimensional potential as a tool for understanding the meaning of the wave function with an introduction to symmetry and conservation laws.
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