Results 1 to 10 of about 794 (57)
Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we are interested in some theoretical and numerical studies of a special case of a degenerate nonlinear Schrödinger equation namely the so-called Gross-Pitaevskii Equation(GPE).
Alahyane Mohamed +2 more
doaj +1 more source
Advances in Nonlinear Analysis, 2023 In this article, we study the following Kirchhoff equation: (0.1)−(a+b‖∇u‖L2(R3)2)Δu+V(∣x∣)u=f(u)inR3,-(a+b\Vert \nabla u{\Vert }_{{L}^{2}\left({{\mathbb{R}}}^{3})}^{2})\Delta u+V\left(| x| )u=f\left(u)\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0.1em ...
Wang Tao, Yang Yanling, Guo Hui
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On an effective equation of the reduced Hartree-Fock theory
Advanced Nonlinear Studies, 2023 We show that there is a one-to-one correspondence between solutions to the Poisson-landscape equations and the reduced Hartree-Fock equations in the semi-classical limit at low temperature.
Chenn Ilias +3 more
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Standing wave solution for the generalized Jackiw-Pi model
Advances in Nonlinear Analysis, 2022 We study the existence and nonexistence of the standing wave solution for the generalized Jackiw-Pi model by using variational method. Depending on interaction strength λ\lambda , we have three different situations.
Huh Hyungjin +3 more
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Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality
Forum of Mathematics, Sigma, 2023 One of the crucial properties of a quantum system is the existence of bound states. While the existence of eigenvalues below zero, that is, below the essential spectrum, is well understood, the situation of zero energy bound states at the edge of the ...
Dirk Hundertmark +2 more
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Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems
Advanced Nonlinear Studies, 2022 In the present article, we study multiplicity of semi-classical solutions of a Yukawa-coupled massive Dirac-Klein-Gordon system with the general nonlinear self-coupling, which is either subcritical or critical growth.
Ding Yanheng, Yu Yuanyang, Dong Xiaojing
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The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
Results in Physics, 2021 In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
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Lower bound for the ground state energy of the no-pair Hamiltonian [PDF]
, 1997 A lower bound for the ground state energy of a one particle relativistic Hamiltonian - sometimes called no-pair operator - is provided.Comment: 5 pages, 1 figure, 1 table, Latex2e (amssymb,amsmath ...
Bethe +15 more
core +2 more sources
Effects of Brownian noise strength on new chiral solitary structures
Journal of Low Frequency Noise, Vibration and Active Control, 2023 In this paper, we investigate the nonlinear Chiral Schrödinger equation (CNLSE) in two dimensions where noise term affected randomly with time. This equation characterized some edges states of fractional-Hall Effect features in quantum.
Yousef F Alharbi +2 more
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On representations of Lie algebras of a generalized Tavis‐Cummings model
Journal of Applied Mathematics, Volume 2003, Issue 1, Page 55-64, 2003., 2003 Consider the Lie algebras Lr,t s:[K1,K2]=sK3, [K3, K1] = rK1, [K3, K2] = −rK2, [K3, K4] = 0, [K4, K1] = −tK1, and [K4, K2] = tK2, subject to the physical conditions, K3 and K4 are real diagonal operators representing energy, K2=K1†, and the Hamiltonian H = ω1K3 + (ω1 + ω2)K4 + λ(t)(K1eiΦ + K2eiΦ) is a Hermitian operator.
L. A. M. Hanna
wiley +1 more source