Results 1 to 10 of about 1,721 (102)
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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Open Mathematics, 2007 Starting from the Rodrigues representation of polynomial solutions of the general hypergeometric-type differential equation complementary polynomials are constructed using a natural method.
Weber Hans
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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
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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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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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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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Intertwining semiclassical solutions to a Schrödinger-Newton system [PDF]
, 2011 We study the problem ( (−"i∇ + A(x)) 2 u + V (x)u = " 2 1 |x| ∗ |u| 2 u, u ∈ L 2 (R 3 ,C), "∇u + iAu ∈ L 2 (R 3 ,C 3 ), where A: R3 → R3 is an exterior magnetic potential, V : R3 → R is an exte- rior electric potential, and " is a small positive ...
S. Cingolani, M. Clapp, S. Secchi
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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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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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Advances in Nonlinear Analysis, 2020 In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
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