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Impact of the Higher-Order Reactive Nonlinearity on High-Amplitude Dissipative Solitons
In this work, the impact of the higher-order reactive nonlinearity on very high-amplitude solitons of the cubic–quintic complex Ginzburg–Landau...
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Existence of the Solution for a Double Phase System with Convex Nonlinearities
In this paper, we study the following double phase system which contains the convex nonlinearities. By the use of the Nehari manifold, the existence...
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Affine Algebraic Ricci Solitons Associated to the Yano Connections on Three-Dimensional Lorentzian Lie Groups
In this paper, we compute curvatures of Yano connections on three-dimensional Lorentzian Lie groups with some product structure. We define affine...
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Uniqueness of Nonlinear Inverse Problem for Sturm–Liouville Operator with Multiple Delays
The inverse problem concerns how to reconstruct the operator from given spectral data. The main goal of this paper is to address nonlinear inverse...
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Applying Grover’s algorithm to implement various numerical and comparison operations
Quantum search algorithm is used to perform fast data searching that finds data with high probability for any unstructured data. The quantum search...
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Geometric phases, Everett’s many-worlds interpretation of quantum mechanics, and wormholes
We present how the formalism of geometric phases in adiabatic quantum dynamics provides geometric realisations permitting to “embody” the Everett’s...
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Mathematical digital quantum computation by means of much more logical skills
We expand Deutsch’s algorithm for determining the map**s of a logical function using four orthogonal states. Using this, we propose a parallel...
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A new conjecture for obtaining the energy spectra of the wave equations under solvable potentials
In this paper, we proposed a new method for obtaining the energy of a particle which can be described by the wave equations under a solvable...
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Rigidity results of weighted area-minimizing hypersurfaces
In this paper, we prove two rigidity results of hypersurfaces in n -dimensional weighted Riemannian manifolds with weighted scalar curvature bounded...
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Correction to: Hypercohomologies of truncated twisted holomorphic de Rham complexes
In the original article [
1 ], Theorem 1.2 (Künneth theorem) is incorrect. -
Nonlinear Stochastic Operators and Associated Inhomogeneous Entangled Quantum Markov Chains
In the present paper, we introduce a class of F -stochastic operators on a finite-dimensional simplex, each of which is regular, ascertaining that the...
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A heat–structure interaction model with (formal) ‘square-root’ dam**: analyticity and uniform stability
In Part I, the present paper studies a homogeneous, uncontrolled 2D or 3D heat–structure interaction model, where the structure is modeled by an...
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Some regularity of submetries
We discuss regularity statements for equidistant decompositions of Riemannian manifolds and for the corresponding quotient spaces. We show that any...
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