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On separability of non-linear Schrodinger operators with matrix potentials
Faculty
Science
Year:
2022
Type of Publication:
ZU Hosted
Pages:
859-866
Authors:
Hany Ahmed Atia Abdelrahman
Staff Zu Site
Abstract In Staff Site
Journal:
International Journal of Nonlinear Sciences and Numerical Simulation De Gruyter
Volume:
23
Keywords :
, separability , non-linear Schrodinger operators with matrix
Abstract:
In this paper we studied the separability of the non-linear Schrodinger operator of the form Su(x)=-∆u(x)+V(x,u), where ∆=i=1n∂2u(x)∂xi2, with the non-linear matrix potential V(x,u). We obtained the sufficient conditions for separability of
Author Related Publications
Hany Ahmed Atia Abdelrahman, "Separation Problem for Bi-Harmonic Differential Operators in Lp-Spaces on Manifolds", springer, 2019
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Hany Ahmed Atia Abdelrahman, "Essential Self-adjointness for Covariant Tri-Harmonic Operators on Manifolds and the Separation Problem", DergiPark, 2022
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Hany Ahmed Atia Abdelrahman, "Magnetic Bi-Harmonic Differential Operators on Riemannian Manifolds and the Separation Problem", Journal of Contemporary Mathematical Analysis, 2016
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Hany Ahmed Atia Abdelrahman, "Separation Problem for Second Order Elliptic Differential Operators on Riemannian Manifolds", Journal of Computational Analysis and Applications, 2015
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Hany Ahmed Atia Abdelrahman, "Inequalities and separation for the Laplace Beltrami differential operator in Hilbert spaces", Journal of Mathematical Analysis and Applications, 2007
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Department Related Publications
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Yasser AbdelAziz Amer Tolba, "The improved (G’/G) - expansion method for constructing exact traveling wave solutions for a nonlinear PDE of nanobiosciences", USA, 2013
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Alaa Hassan Attia Hassan, "A Unified Representation of Some Starlike and Convex Harmonic Functions with Negative Coefficients", AGH University of Science and Technology Press, Krakow 2013, Poland, 2013
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Alaa Hassan Attia Hassan, "Generalizations of Hadamard Procuct of Certain Meromorphic Multivalent Functions with Positive Coefficients", Istanbul Universitesi, Turkey, 2013
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