Výsledky vyhledávání - "Ugurhan Mugan"

Painlevé test and the first Painlevé hierarchy

Autor: F Jrad, Ugurhan Mugan

Publikováno v: Journal of Physics A: Mathematical and General

Starting from the first Painlevé equation, Painlevé type equations of higher order are obtained by using the singular point analysis.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dcbb67de26253b746becaf696afe936d
https://doi.org/10.1088/0305-4470/32/45/309

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Generalized scaling reductions and Painlevé hierarchies

Autor: Pilar R. Gordoa, Andrew Pickering, Ugurhan Mugan

Publikováno v: Applied Mathematics and Computation

We give an alternative derivation of two Painlevé hierarchies. This is done by constructing generalized scaling reductions of the Korteweg-de Vries and dispersive water wave hierarchies. We also construct a generalized scaling reduction of Burgers h

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c3d20268f46baba0de777d04aa1ab5b
https://hdl.handle.net/11693/21018

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On the solvability of the discrete second Painlevé equation

Autor: Paolo Maria Santini, Ugurhan Mugan

Publikováno v: Journal of Physics A: Mathematical and Theoretical

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e989f64e771b9a538f7e2d4d5417180d
https://hdl.handle.net/11693/21929

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On the solvability of Painleve I, III and V

Autor: Xin Zhou, Athanassios S. Fokas, Ugurhan Mugan

Publikováno v: Inverse Problems. 8:757-785

As rigorous methodology for studying the Riemann-Hilbert problems associated with certain integrable nonlinear ODEs was introduced in 1992 by Fokas and Zhou, and was used to investigate Painleve II and Painleve IV equations. Here the authors apply th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c344a3ab60ab12e359c7f3c3431de17e
https://doi.org/10.1088/0266-5611/8/5/006

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Third order differential equations with fixed critical points

Autor: Ugurhan Mugan, Arezki Kessi, Yasin Adjabi, Fahd Jrad

Publikováno v: Applied mathematics and computation
Applied Mathematics and Computation

Cataloged from PDF version of article. The singular point analysis of third order ordinary differential equations which are algebraic in y and y′ is presented. Some new third order ordinary differential equations that pass the Painlevé test as wel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10328515d2af8cb8c20cb8d2548e435d
https://hdl.handle.net/11693/22838

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Backlund transformations for discrete Painleve equations: Discrete P-II-P-V

Autor: Ugurhan Mugan, Ayman H. Sakka

Publikováno v: Chaos, Solitons and Fractals

Transformation properties of discrete Painleve´ equations are investigated by using an algorithmic method. This method yields explicit transformations which relates the solutions of discrete Painleve´ equations, discrete PII–PV, with different va

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8301eefe6498a76957affee31485935
https://hdl.handle.net/11693/11458

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Schlesinger transformations for discrete second Painlevé equation: d-PII

Autor: Ayman H. Sakka, Ugurhan Mugan, Paolo Maria Santini

Publikováno v: Physics Letters, Section A : General, Atomic and Solid State Physics

A method to obtain the Schlesinger transformations for the standard discrete second Painlevé equation, d–PII, is given. The procedure involves formulating a Riemann–Hilbert problem for a transformation matrix which transforms the solution of the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffe37f61ac2eebed59a945ae5e4b0140

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Backlund Transformations for Higher Order Painleve Equations

Autor: P.R. Gordoa, A. Pickering, Ayman H. Sakka, Ugurhan Mugan

Publikováno v: Chaos, Solitons and Fractals

We present a new generalized algorithm which allows the construction of Bäcklund transformations (BTs) for higher order ordinary differential equations (ODEs). This algorithm is based on the idea of seeking transformations that preserve the Painlev�

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::faff92aaeb436633ba151bf47da1f165
https://hdl.handle.net/11693/11355

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Non-polynomial Third Order Equations which Pass the Painlevé Test

Autor: Fahd Jrad, Ugurhan Mugan

Publikováno v: Zeitschrift fur Naturforschung-Section A Journal of Physical Sciences
Scopus-Elsevier

The singular point analysis of third-order ordinary differential equations in the non-polynomial class is presented. Some new third order ordinary differential equations which pass the Painlevé test, as well as the known ones are found.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::482aada30a9bdc39aae4091fe6e166eb
https://hdl.handle.net/11693/24312

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Second-order second-degree Painlevé equations related with Painlevé I-VI equations and Fuchsian-type transformations

Autor: Ayman H. Sakka, Ugurhan Mugan

Publikováno v: Journal of Mathematical Physics

Cataloged from PDF version of article. One-to-one correspondence between the Painlevé I-VI equations and certain second-order second-degree equations of Painlevé type is investigated. The transformation between the Painlevé equations and second-or

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::940d1a3f1a051e0e80d49383d9d8143b
https://hdl.handle.net/11693/25232

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