Results 91 to 100 of about 22,025,942 (161)

Second-order second degree Painlevé equations related with Painlevé I, II, III equations [PDF]

, 1997
The algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties of Painlevé equations is used to obtain a one-to-one correspondence between the Painlevé I, II and III equations and certain second-order second degree ...
Sakka, A., Muǧan, U.
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Painlevé Analysis and Similarity Reductions for the Magma Equation

Symmetry, Integrability and Geometry: Methods and Applications, 2006
In this paper, we examine a generalized magma equation for rational values of two parameters, m and n. Firstly, the similarity reductions are found using the Lie group method of infinitesimal transformations.
Shirley E. Harris, Peter A. Clarkson
doaj  

The master Painlevé VI heat equation [PDF]

, 2014
4 pages, no figure. To appear, Comptes rendus, section mathe'matiques, bilingueGiven the second order scalar Lax pair of the sixth Painlevé equation, we build a generalized heat equation with rational coefficients which does not depend any more on the ...
Robert Conte, Ivan Dornic, Conte, Robert, Dornic, Ivan   +3 more
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Discours prononcé aux funérailles de M. Poincaré

, 1912
Painlevé Paul. Discours prononcé aux funérailles de M. Poincaré. In: Bulletin astronomique, tome 29, 1912. pp.
Painlevé, Paul
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Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy

Alexandria Engineering Journal
We investigate the two-component BKP hierarchy equation for its Lie point symmetries. To obtain a complete classification of the group-invariant solution, we derive the one-dimensional optimal system of subalgebras of A3,3(D⨂sT2).
J. Mohammed Zubair Ahamed, R. Sinuvasan
doaj   +1 more source

Complex Connections between Symmetry and Singularity Analysis

Mathematical and Computational Applications
In this paper, it is noted that three apparently disparate areas of mathematics—singularity analysis, complex symmetry analysis and the distributional representation of special functions—have a basic commonality in the underlying methods used.
Asghar Qadir
doaj   +1 more source

Qualitative Analysis, Integrability, and Exact Solutions for a Nonlinear Model of Fluid-Conveying Microtubes

Mathematics
This work investigates, for the first time, nonlinear wave dynamics and chaos in nanocomposite micropipes conveying a viscous fluid, reinforced with graphene origami (GOr), and subjected to thermal loading.
Adel Elmandouh, Mahmoud A. Elmandouh
doaj   +1 more source

Paul Painlevé

, 1934
Paul Painlevé. In: Revue internationale de l'enseignement, tome 88,1934. pp.

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New soliton, kink and periodic solutions for fractional space–time coupled Schrödinger equation

Alexandria Engineering Journal
This work investigates the time–space fractional coupled nonlinear Schrödinger equation. By applying an appropriate wave transformation, this equation is converted into a fourth-order system of ordinary differential equations, equivalent to a Hamiltonian
Manal Alharbi, Adel Elmandouh, Mamdouh Elbrolosy   +2 more
doaj   +1 more source

La propiedad de Painlevé

, 2001
Este artículo comienza con una breve reseña histórica de la propiedad Painlevé. Posteriormente se aplica la prueba de Painlevé a dos ecuaciones diferenciales parciales no lineales (la ecuación de Tu, y una extensión de la ecuación mKdV) que no habían ...
Jorge Fujioka, Fujioka, Jorge
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