Results 61 to 70 of about 22,025,942 (161)
Scissors congruence K$K$‐theory for equivariant manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
wiley +1 more source
Painlevé analysis of a new integrable nonautonomous Korteweg-de Vries (K-dV) equation
, 1997 The Painlevé (P-) analysis of a new integrable nonautonomous K-dV equation is performed and it is shown that the equation does possess the P-property.
Alagesan, T. +5 more
core +1 more source
Geometry of Painlevé equations
, 2023 International audienceThe goal of the course is to provide a description of the foliation associated to the Painlevé VI equation. Painlevé equations form 6 families of differential equations, the first 5 arising from degenerescence of the 6th one, with 4
Loray, Frank
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Ramified Asymptotic Expansions for Some Linear Initial Value Problem With Mahler Transforms
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.We focus on a linear partial differential initial value problem in complex time t and complex space combined with time acting Mahler transforms. Bounded holomorphic solutions on bounded sectors edged at the origin in time and on horizontal strips in space are constructed by means of infinite sums of Fourier–Laplace transforms.
Stéphane Malek, Deepali Deepali
wiley +1 more source
Painlevé property of the inhomogeneous coupled nonlinear Schrödinger equations
, 1995 We propose a new type of inhomogeneous coupled nonlinear Schrödinger (NLS) equations. Then, we apply the Painlevé singularity structure analysis and find that the proposed equations admit the Painlevé property.
Shanmugha Sundaram, P., Porsezian, K.
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Complexity, 2022 The consistent tanh expansion (CTE) method is successfully applied to the coupled integrable dispersionless (CID) system. A nonauto-Bäcklund transformation (BT) theorem includes two fields f and v1 is obtained by using the CTE method.
Jun Yu, Bo Ren, Ping Liu, Jia-Li Zhou
doaj +1 more source
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This research work provides a comprehensive investigation of the M‐fractional paraxial wave equation (M‐fPWE) in describing complex optical phenomena in telecommunication systems and nonlinear media, focusing on the dynamical analysis of optical soliton solutions, the impact of M‐fractional parameters, stability, multistability, and the chaotic nature ...
Md. Mamunur Roshid +5 more
wiley +1 more source
, 1997 In this paper, we have analysed the integrability properties of a three-dimensional Kadomtsev-Petviashvili equation by Painlevé test and the associated Bäcklund transformation is constructed straightforwardly from the Painlevé ...
Alagesan, T. +5 more
core +1 more source
Transmutation of a trans-series: the Gross-Witten-Wadia phase transition
Journal of High Energy Physics, 2017 We study the change in the resurgent asymptotic properties of a trans-series in two parameters, a coupling g 2 and a gauge index N, as a system passes through a large N phase transition, using the universal example of the Gross-Witten-Wadia third-order ...
Anees Ahmed, Gerald V. Dunne
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Impact of the Properties of Microstructured Solids on the Propagation of Hybrid Solitary Waves
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.Microstructured solids exhibit complex wave propagation dynamics due to the interplay between nonlinearity, dispersion, dissipation, and higher‐order spatiotemporal effects induced by their internal architecture. In this work, we investigate how these properties influence the propagation of hybrid solitary waves governed by a generalized strain‐wave ...
Stallon Mezezem Songna +3 more
wiley +1 more source