Results 71 to 80 of about 6,078 (188)
Darboux Integrability and Reversible Quadratic Vector Fields
Rocky Mountain Journal of Mathematics, 2005 The authors study the Darboux theory of integrability for reversible polynomial vector fields in \({\mathbb R}^n\). In particular, they define the concept of \(\varphi\)-reversible vector fields for a given involution \(\varphi\) and show that if \(X\) is a \(\varphi\)-reversible quadratic vector field in \({\mathbb R}^2\) such that the set of fixed ...
Llibre, Jaume, Medrado, João Carlos
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Multicomponent integrable wave equations: I. Darboux-dressing transformation [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 The Darboux-Dressing Transformations are applied to the Lax pair associated to systems of coupled nonlinear wave equations in the case of boundary values which are appropriate to both bright and dark soliton solutions. The general formalism is set up and the relevant equations are explicitly solved. Several instances of multicomponent wave equations of
Degasperis, A., Lombardo, S.
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A New Approach to the Accretive Growth of Surfaces Via Hyperbolical Kinematics
Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15349-15363, 15 November 2025.ABSTRACT In the current work, we introduce the accretive growth of surfaces by using hyperbolical geometry. First, we describe hyperbolical kinematics along a generating curve to construct accretive surfaces having a hyperbolical cross‐section. The obtained surfaces are not only the ones having hyperbolical cross‐sections but also their material points
Gül Tuğ, Zehra Özdemir
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Existence and orthogonality of stable envelopes for bow varieties
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3249-3306, November 2025.Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
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Darboux and binary Darboux transformations for discrete integrable systems I. Discrete potential KdV equation [PDF]
Journal of Physics A: Mathematical and Theoretical, 2013 The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-periodic reduction. Then Darboux transformations and binary Darboux transformations are derived for the discrete potential modified KdV equation and it is shown how these may be ...
Shi, Y., Nimmo, J., Zhao, J.
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H∞ filtering for 2D continuous‐discrete Takagi–Sugeno fuzzy systems in finite frequency band
Asian Journal of Control, Volume 27, Issue 5, Page 2128-2140, September 2025.Abstract This paper focuses on the design of H∞$$ {H}_{\infty } $$ filtering for two‐dimensional (2‐D) continuous‐discrete Takagi–Sugeno (T–S) fuzzy systems. The frequency of disturbance input is assumed to be known and to reside in a finite frequency (FF) domain.
Abderrahim El‐Amrani +3 more
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Geometry of Darboux-Manakov-Zakharov systems and its application [PDF]
, 2010 The intrinsic geometric properties of generalized Darboux-Manakov-Zakharov systems of semilinear partial differential equations \label{GDMZabstract} \frac{\partial^2 u}{\partial x_i\partial x_j}=f_{ij}\Big(x_k,u,\frac{\partial u}{\partial x_l}\Big), 1 ...
Vassiliou, Peter J.
core
Darboux integrable discrete equations possessing an autonomous first-order integral
, 2013 All Darboux integrable difference equations on the quad-graph are described in the case of the equations that possess autonomous first-order integrals in one of the characteristics.
Startsev, S. Ya.
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Darboux integrability and rational reversibility in cubic systems with two invariant straight lines
Electronic Journal of Differential Equations, 2013 We find conditions for a singular point O(0,0) of a center or a focus type to be a center, in a cubic differential system with two distinct invariant straight lines.
Dumitru Cozma
doaj
Ecology and Evolution, Volume 15, Issue 9, September 2025.Identifying and quantifying natural and anthropogenic disturbances at fine spatial scales is critical to assess the role of forests in climate change mitigation. Using tree rings, fire scars, satellite imagery, official records, and interviews, we reconstructed historical disturbances and identified fires, logging events, landslides, and icy ...
Zhongqian Cheng +3 more
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