Results 11 to 20 of about 746,627 (265)
physica status solidi (b), Volume 260, Issue 1, January 2023., 2023 The modulated harmonic wave in the discrete series‐connected Josephson transmission line (JTL) is considered and the equation describing the modulation amplitude is obtained. The equation turns out to be the defocusing nonlinear Schrödinger equation. The most interesting result following the calculations is the existence of the dark solitons in the JTL.
Eugene Kogan
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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 +3 more
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Benefits of Open Quantum Systems for Quantum Machine Learning
Advanced Quantum Technologies, EarlyView., 2023 Quantum machine learning (QML), poised to transform data processing, faces challenges from environmental noise and dissipation. While traditional efforts seek to combat these hindrances, this perspective proposes harnessing them for potential advantages. Surprisingly, under certain conditions, noise and dissipation can benefit QML.
María Laura Olivera‐Atencio +2 more
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International Journal of Physical Research, 2019 This paper studies the chiral nonlinear Schrödinger equations, describing a central role in the developments of quantum me-chanics, particularly in the field of quantum Hall effect, where chiral excitations are known to appear. More precisely, in this paper, we acquired new exact solutions of the chiral nonlinear (1+1) and (1+2)-dimensional Schrà ...
Atish Kumar Joardar +4 more
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Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation [PDF]
Inventiones Mathematicae, 2019 Consider the cubic nonlinear Schrödinger equation set on a d-dimensional torus, with data whose Fourier coefficients have phases which are uniformly distributed and independent.
T. Buckmaster +3 more
semanticscholar +1 more source
Rogue waves on the double-periodic background in the focusing nonlinear Schrödinger equation. [PDF]
Physical Review E, 2019 The double-periodic solutions of the focusing nonlinear Schrödinger equation have been previously obtained by the method of separation of variables. We construct these solutions by using an algebraic method with two eigenvalues.
Jinbing Chen +2 more
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On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential
Studies in Applied Mathematics, Volume 150, Issue 1, Page 92-118, January 2023., 2023 Abstract We consider the nonlinear Schrödinger equation with a harmonic potential in the presence of two combined energy‐subcritical power nonlinearities. We assume that the larger power is defocusing, and the smaller power is focusing. Such a framework includes physical models, and ensures that finite energy solutions are global in time.
Rémi Carles, Yavdat Il'yasov
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Are physiological oscillations physiological?
The Journal of Physiology, EarlyView., 2023 Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
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Journal of Bangladesh Academy of Sciences, 1970 The work represents and investigates the stationary solutions of the one-dimensional Non-linear Schrödinger Equation (NLSE), for attractive non-linearity, in the Bose-Einstein condensates (BEC) under the box boundary condition and calculates the characteristics of internal modes of bright solitons (eigen modes of small perturbation of the condensate ...
MM Hossain +4 more
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Partial Differential Equations in Applied Mathematics, 2022 This work justifies the generalized Schrödinger-like equation with logarithmic nonlinearity in the statistical theory of cosmogonical body formation. Within the framework of this theory, the models and evolution equations of the statistical mechanics ...
Alexander M. Krot
doaj