Results 31 to 40 of about 6,585,637 (137)
Integrability of Discrete Equations Modulo a Prime
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We apply the ''almost good reduction'' (AGR) criterion, which has been introduced in our previous works, to several classes of discrete integrable equations.
Masataka Kanki
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Noûs, Volume 60, Issue 1, Page 136-160, March 2026.Abstract It is well‐recognized in the sciences that a multitude of nonequivalent models are used by researchers to fulfill a range of goals, even for the same target system, a result known broadly as model pluralism. The possibility of the same form of pluralism occurring in logic, however, has not been adequately considered.
Ben Martin
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, 2021 This is a sample submission generated by Vireo to test the repository deposit features.Test ...
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On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
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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
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On a 'Mysterious' Case of a Quadratic Hamiltonian
Symmetry, Integrability and Geometry: Methods and Applications, 2006 We show that one of the five cases of a quadratic Hamiltonian, which were recently selected by Sokolov and Wolf who used the Kovalevskaya-Lyapunov test, fails to pass the Painlevé test for integrability.
Sergei Sakovich
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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
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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
Implementation of the Painlevé test for ordinary differential systems [PDF]
, 1997 By definition, the Painlevé test is the set of all techniques which enables one to generate necessary (although generally not sufficient) conditions for the integrability of ordinary (or partial) non-linear differential systems, in the sense of Painlevé.
Christian Scheen, Scheen, Christian
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Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model
Demonstratio MathematicaThe Peyrard-Bishop DNA model is investigated in this study. Two most reliable and efficient analytical techniques, the Jacobi elliptic function method, and the tanh\tanh -coth\coth method, are being employed for finding new and novel soliton solutions ...
Akram Ghazala +5 more
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