Results 11 to 20 of about 6,078 (188)
AIMS Mathematics, 2023 This paper investigates soliton solutions to a two-component complex short pulse (c-SP) equation. Based on the known Lax pair representation of this equation, we verify the integrability of a two-component c-SP equation and find an equivalent convenient ...
Qiulan Zhao +2 more
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On Darboux-integrable semi-discrete chains [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 19 ...
Habibullin I. +2 more
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Geometry and integrability of quadratic systems with invariant hyperbolas
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Let QSH be the family of non-degenerate planar quadratic differential systems possessing an invariant hyperbola. We study this class from the viewpoint of integrability.
Regilene Oliveira +2 more
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't Hooft lines of ADE-type and topological quivers
SciPost Physics, 2023 We investigate 4D Chern-Simons theory with ADE gauge symmetries in the presence of interacting Wilson and 't Hooft line defects. We analyse the intrinsic properties of these lines' coupling and explicate the building of oscillator-type Lax matrices ...
Youssra Boujakhrout, El Hassan Saidi, Rachid Ahl Laamara, Lalla Btissam Drissi
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Classification of a Subclass of Two-Dimensional Lattices via Characteristic Lie Rings [PDF]
, 2017 The main goal of the article is testing a new classification algorithm. To this end we apply it to a relevant problem of describing the integrable cases of a subclass of two-dimensional lattices.
Habibullin, Ismagil, Poptsova, Mariya
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The The 1:-1:1 Resonance Integrable Problem for a Cubic Lotka-Volterra Systems.
Zanco Journal of Pure and Applied Sciences, 2019 This paper is devoted to investigate the integrability and linearizability problems around a singular point at the origin of a cubic three-dimensional Lotka-Volterra differential system with -resonance.
Hersh Mohammed Saber, Waleed H. Aziz
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Path integration on Darboux spaces [PDF]
Physics of Particles and Nuclei, 2006 In this paper the Feynman path integral technique is applied to two-dimensional spaces of non-constant curvature: these spaces are called Darboux spaces $\DI$--$\DIV$. We start each consideration in terms of the metric and then analyze the quantum theory in the separable coordinate systems.
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On the classification of Darboux integrable chains [PDF]
Journal of Mathematical Physics, 2008 We study a differential-difference equation of the form tx(n+1)=f(t(n),t(n+1),tx(n)) with unknown t=t(n,x) depending on x and n. The equation is called a Darboux integrable if there exist functions F (called an x-integral) and I (called an n-integral), both of a finite number of variables x,t(n),t(n±1),t(n±2),…,tx(n),txx(n),…, such that DxF=0 and DI=I,
Habibullin, I. +2 more
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Chaos Theory and Applications, 2022 The famous and well-studied Lorenz system is considered a paradigm for chaotic behavior in three-dimensional continuous differential systems. After the appearance of such a system in 1963, several Lorenz-like chaotic systems have been proposed and ...
Rafael Paulino Silva, Marcelo Messias
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Darboux integrating factors: Inverse problems
Journal of Differential Equations, 2011 We discuss planar polynomial vector fields with prescribed Darboux integrating factors, in a nondegenerate affine geometric setting. We establish a reduction principle which transfers the problem to polynomial solutions of certain meromorphic linear systems, and show that the space of vector fields with a given integrating factor, modulo a subspace of ...
Christopher, Colin +3 more
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