Results 101 to 110 of about 22,025,942 (161)

Coupled higher-order nonlinear Schrödinger equations in nonlinear optics: Painlevé analysis and integrability

, 1994
A set of coupled higher-order nonlinear Schrödinger equations which can be derived from the electromagnetic pulse propagations in coupled optical waveguides and in a weakly relativistic plasma with nonlinear coupling of two polarized transverse waves is ...
Shanmugha Sundaram, P., Mahalingam, A., Porsezian, K.   +2 more
core   +1 more source

Novel geometric insights into modulation instability and soliton solutions of the truncated M-fractional ( 3 + 1 ) $(3+1)$ -D generalized Painlevé equation

Boundary Value Problems
This research examines soliton solutions of the truncated M-fractional ( 3 + 1 ) $(3+1)$ -dimensional generalized Painlevé-type equation using the modified exp-function method and the exp ( − Φ ( η ) ) $\exp(-\Phi (\eta ))$ -expansion method for the ...
Jamshad Ahmad, Khalid Masood, Fatima Ayub, Nehad Ali Shah   +3 more
doaj   +1 more source

Painlevé Analysis of the Traveling Wave Reduction of the Third-Order Derivative Nonlinear Schrödinger Equation

Mathematics
The second partial differential equation from the Kaup–Newell hierarchy is considered. This equation can be employed to model pulse propagation in optical fiber, wave propagation in plasma, or high waves in the deep ocean.
Nikolay A. Kudryashov, Sofia F. Lavrova
doaj   +1 more source

Bäcklund transformation of Frobenius Painlevé equations

, 2018
In this paper, in order to generalize the Painlevé equations, we give a [Formula: see text]-Painlevé IV equation which can apply Bäcklund transformations to explore.
Chuanzhong Li, Haifeng Wang
core   +1 more source

Singularity analysis for difference Painlevé equations associated with the affine Weyl group $E_8$

, 2017
International audienceWe propose a new expression for the generic additive discrete Painlevé equation associated with the affine Weyl group $E_{8}^{(1)}$ . This expression makes the singularity analysis of the mapping perfectly straightforward and allows
Grammaticos, B., Ramani, A.
core   +1 more source

Jean Painlevé

, 2011
Roxane Hamery, Jean Painlevé, le cinéma au cœur de la vie, Rennes, Presses universitaires de Rennes, 2008, 314 p. Roxane Hamery retrace l’œuvre cinématographique et le parcours institutionnel de Jean Painlevé.
cinedidac
core   +1 more source

99. 7 décembre 1915 : Circulaire relative au concours d'admission dans les écoles normales et au brevet élémentaire

, 1995
Painlevé Paul. 99. 7 décembre 1915 : Circulaire relative au concours d'admission dans les écoles normales et au brevet élémentaire. In: L'enseignement du Français à l'école primaire – Textes officiels. Tome 2 : 1880-1939.
Painlevé, Paul
core  

Integrability and Dynamic Behavior of a Piezoelectro-Magnetic Circular Rod

Mathematics
The present work strives to explore some qualitative analysis for the governing equation describing the dynamic response of a piezoelectro-magnetic circular rod.
Sarah M. Albalawi, Adel A. Elmandouh, Mohammed Sobhy   +2 more
doaj   +1 more source

Hybrid cubic and hyperbolic b-spline collocation methods for solving fractional Painlevé and Bagley-Torvik equations in the Conformable, Caputo and Caputo-Fabrizio fractional derivatives

Boundary Value Problems
In this paper, we approximate the solution of fractional Painlevé and Bagley-Torvik equations in the Conformable (Co), Caputo (C), and Caputo-Fabrizio (CF) fractional derivatives using hybrid hyperbolic and cubic B-spline collocation methods, which is an
Nahid Barzehkar, Reza Jalilian, Ali Barati   +2 more
doaj   +1 more source

Orthogonal Polynomials with Singularly Perturbed Freud Weights. [PDF]

Entropy (Basel), 2023
Min C, Wang L.
europepmc   +1 more source