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Probabilistic Degenerate Fubini Polynomials Associated with Random Variables
Let Y be a random variable such that the moment generating function of Y exists in a neighborhood of the origin. The aim of this paper is to study...
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A General Coupled Derivative Nonlinear Schrödinger System: Darboux Transformation and Soliton Solutions
In this work we present a general coupled derivative nonlinear Schrödinger system. We construct the corresponding N -fold Darboux transform and...
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Universal covers of non-negatively curved manifolds and formality
We show that if the universal cover of a closed smooth manifold admitting a metric with non-negative Ricci curvature is formal, then the manifold...
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On the Temporal Tweezing of Cavity Solitons
Motivated by the work of Jang et al., Nat Commun 6:7370 (
2015 ), where the authors experimentally tweeze cavity solitons in a passive loop of optical... -
On Common Borel Direction of Entire Function f and Its q-Difference Operator
The common Borel direction of entire function f ( z ) and its q -difference operator is studied by using Nevanlinna theory. Some conditions of the...
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Existence of Regular Solutions for a Class of Incompressible Non-Newtonian MHD Equations Coupled to the Heat Equation
We consider a system of PDE’s describing the steady flow of an electrically conducting fluid in the presence of a magnetic field. The system of...
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Can quantum Rabi model with \({\varvec{A}}^\textbf{2}\)-term avoid no-go theorem and make quantum simulation of mass-enhancement in SUSY breaking?
We study the model of a mass enhancement in the supersymmetric quantum mechanics. This model is so simple that it may be implemented as a quantum...
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Spectral Solutions of Specific Singular Differential Equations Using A Unified Spectral Galerkin-Collocation Algorithm
This paper presents a novel numerical approach to addressing three types of high-order singular boundary value problems. We introduce and consider...
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A graphical language for quantum protocols based on the category of cobordisms
As shown by Abramsky and Coecke, quantum mechanics can be studied in terms of dagger compact closed categories with biproducts. Within this...
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An order relation between eigenvalues and symplectic eigenvalues of a class of infinite-dimensional operators
In this article, we obtain some results in the direction of “infinite-dimensional symplectic spectral theory”. We prove an inequality between the...
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Affine connection, quantum theory and new fields
In a few recent manuscripts, we used the affine connection to introduce two massless scalar fields in the Einstein-Palatini action. These fields lead...
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Left-invariant almost complex structures on the higher dimensional Kodaira–Thurston manifolds
We develop computational techniques which allow us to calculate the Kodaira dimension as well as the dimension of spaces of Dolbeault harmonic forms...
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Group classification for one type of space-time fractional quasilinear parabolic equation
In this paper, we present the Lie symmetry analysis for the space-time fractional quasilinear parabolic equation. A group classification is then...
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Solving Nonlinear Wave Equations Based on Barycentric Lagrange Interpolation
In this paper, we deeply study the high-precision barycentric Lagrange interpolation collocation method to solve nonlinear wave equations. Firstly,...
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A Robust Numerical Simulation of a Fractional Black–Scholes Equation for Pricing American Options
After the discovery of fractal structures of financial markets, fractional partial differential equations (fPDEs) became very popular in studying...
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Non-commutative phase–space of Schrödinger equation in the background of ISMK-CYP model: spectrum and thermodynamic properties
Within the framework of non-relativistic non-commutative phase–space, the new bound state approximate solution of the deformed Schrödinger equation...
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Dynamics, locality and weak measurements: trajectories and which-way information in the case of a simplified double-slit setup
Understanding how the interference pattern produced by a quantum particle in Young’s double-slit setup builds up—the “only mystery” of quantum...
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Locally conformally Kähler spaces and proper open morphisms
In this paper, we prove a stability result for the non-Kähler geometry of locally conformally Kähler (lcK) spaces with singularities. Specifically,...
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Triple Mixed Integral Transformation and Applications for Initial-Boundary Value Problems
In this paper, we establish a new integral transformation method for solving the initial-boundary value problems of the partial differential...
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Design and Analysis of a Group of Correlative and Switchable Dual Memristor Hyperchaotic Systems
In this paper, a group of correlative and switchable dual memristor hyperchaotic systems consisting of three subsystems is constructed. The common...