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The digital repository system captures, stores, indexes, preserves, and distributes digital research material.2019-12-12T04:37:07ZBäcklund Transformations for Fifth-order Painlevé Equations
http://hdl.handle.net/20.500.12358/27285
Bäcklund Transformations for Fifth-order Painlevé Equations
Bäcklund Transformations for Fifth-order Painlevé Equations
Sakka, Ayman H.
In this article we study B¨acklund transformations of the fifth-order Painlev´e equations Fif-I, Fif-II,
Fif-III and Fif-IV. We derive B¨acklund transformations between these equations and new fifth-order
Painlev´e equations. The method of derivation is based on the idea of seeking transformations that
preserve the Painlev´e property. Moreover we give first integrals for the new equations.
2005-10-01T00:00:00ZLie symmetry analysis of some conformable fractional partial differential equations
http://hdl.handle.net/20.500.12358/27284
Lie symmetry analysis of some conformable fractional partial differential equations
تحليل لي لتحويلات التماثل لبعص المعادلات التغاضلية الجزئية الكسرية
Tayyan, B. A.; Sakka, A. H
In this article, Lie symmetry analysis is used to investigate invariance properties of some nonlinear
fractional partial differential equations with conformable fractional time and space derivatives. The analysis
is applied to Korteweg–de Vries, modified Korteweg–de Vries, Burgers, and modified Burgers equations
with conformable fractional time and space derivatives. For each equation, all the vector fields and the Lie
symmetries are obtained. Moreover, exact solutions are given to these equations in terms of solutions of ordinary
differential equations. In particular, it is shown that the fractional Korteweg–de Vries can be reduced to the
first Painlevé equation and to the fractional second Painlevé equation. In addition, a solution of the fractional
modified Korteweg–de Vries is given in terms of solutions of the fractional second Painlevé equation.
2018-12-12T00:00:00ZSYMMETRIES AND EXACT SOLUTIONS OF CONFORMABLE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
http://hdl.handle.net/20.500.12358/27283
SYMMETRIES AND EXACT SOLUTIONS OF CONFORMABLE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRIES AND EXACT SOLUTIONS OF CONFORMABLE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Tayyan, B. A.; Sakka, A. H.
In this paper Lie group analysis is used to investigate invariance properties of
nonlinear fractional partial differential equations with conformable fractional time derivative.
The analysis is applied to Korteweg-de Vries, modified Korteweg-de Vries, Burgers, and modified
Burgers equations. For each equation, all of the vector fields and the Lie symmetries are
obtained. Moreover, exact solutions are given to these equations.
2020-01-01T00:00:00ZDissemination of Security and Peace in Islam
http://hdl.handle.net/20.500.12358/27282
Dissemination of Security and Peace in Islam
إشاعة الأمن والسلام في الإسلام
Awadallah, Adel M.
In this paper, the concept of security and peace in Islam was highlighted. Islam was keen on promoting and preserving them, as well as the reasons why people are away from them, and ways to address these causes, especially the intellectual reasons, because thoughts (ideologies) are the driving forces for the action. The enlightened thought lead to the righteous work, and deviant thought leads to harmful and preserve acts..
2017-08-28T00:00:00Z