Results 71 to 80 of about 1,222,314 (174)
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
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
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MathematicsWe consider a generalization of the modified Korteweg–de Vries–Burgers equation with a nonlinear source. Using the Painlevé test for partial differential equation with the Kruskal variable, we show that the corresponding Cauchy problem cannot be solved ...
Nikolay A. Kudryashov
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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
Noncommutative Toda chains, Hankel quasideterminants and the Painlevé II equation [PDF]
, 2010 We construct solutions of an infinite Toda system and an analog of the Painlevé II equation over noncommutative differential division rings in terms of quasideterminants of Hankel ...
V. Roubtsov +5 more
core +1 more source
q-Painlevé equation from Virasoro constraints
Physics Letters B, 2018 The q-Painlevé equation, satisfied by the Fourier transform of the q-Virasoro conformal blocks at c=1, is interpreted as a reformulation of the string equation and two other Virasoro constraints in the 5d Dotsenko–Fateev matrix model.
A. Mironov, A. Morozov
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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
Generalization of Okamoto's Equation to Arbitrary 2×2 Schlesinger System
Advances in Mathematical Physics, 2009 The 2×2 Schlesinger system for the case of four regular singularities is equivalent to the Painlevé VI equation. The Painlevé VI equation can in turn be rewritten in the symmetric form of Okamoto's equation; the dependent variable in Okamoto's form of ...
Dmitry Korotkin, Henning Samtleben
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid +3 more
wiley +1 more source
Results in Physics, 2017 The propagation of nonlinear waves in unmagnetized strongly coupled dusty plasma with Boltzmann distributed electrons, iso-nonthermal distributed ions and negatively charged dust grains is considered.
O.H. EL-Kalaawy +2 more
doaj +1 more source