Results 91 to 100 of about 3,281 (260)
Symmetries in Connection Preserving Deformations
Symmetry, Integrability and Geometry: Methods and Applications, 2011 e wish to show that the root lattice of Bäcklund transformations of the q-analogue of the third and fourth Painlevé equations, which is of type (A_2+A_1)^{(1)}, may be expressed as a quotient of the lattice of connection preserving deformations ...
Christopher M. Ormerod
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Bargmann Type Systems for the Generalization of Toda Lattices
Journal of Applied Mathematics, 2014 Under a constraint between the potentials and eigenfunctions, the nonlinearization of the Lax pairs associated with the discrete hierarchy of a generalization of the Toda lattice equation is proposed, which leads to a new symplectic map and a class of ...
Fang Li, Liping Lu
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Direct linearization approach to discrete integrable systems associated with ℤ𝒩 graded Lax pairs. [PDF]
Proc Math Phys Eng Sci, 2020 Fu W.
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Chaos in PDEs and Lax Pairs of Euler Equations
Acta Applicandae Mathematica, 2003 Recently, the author and collaborators have developed a systematic program for proving the existence of homoclinic orbits in partial differential equations. Two typical forms of homoclinic orbits thus obtained are: (1). transversal homoclinic orbits, (2). Silnikov homoclinic orbits.
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Nordic Journal of Botany, EarlyView.Vitex L. is a pantropical genus of Lamiaceae comprising 209 taxa. Brazil harbors 35 species, representing nearly 50% of the genus richness in the Neotropics, with the Amazon showing the highest richness, followed by the Atlantic Forest and Cerrado domains. Nevertheless, most taxonomic studies of the genus have been conducted in Africa and Asia.
Thaís Teixeira Conegiro +2 more
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Integrable Couplings and Two-Dimensional Unital Algebras
AxiomsThe paper aims to demonstrate that a linear expansion in a unital two-dimensional algebra can generate integrable couplings, proposing a novel approach for their construction. The integrable couplings presented encompass a range of perturbation equations
Wen-Xiu Ma
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The Delsarte-Darboux type binary transformations, their differential-geometric and operator structure with applications. Part 1 [PDF]
Opuscula Mathematica, 2006 The structure properties of multidimensional Delsarte-Darboux transmutation operators in parametric functional spaces are studied by means of differential-geometric and topological tools.
Yarema A. Prykarpatsky +1 more
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A Lax pair for the complete QRT mapping
, 2013 QRT maps are translations on smooth biquadratic curves, also known as elliptic curves. Special cases of QRT maps are known to arise as compatibility conditions for an associated system of linear equations, known as a Lax pair. Here, we provide $2\times 2$ Lax pairs explicitly for the whole 18-parameter family of QRT maps.
Howes, P., Joshi, N., Kassotakis, P.
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Novelty for the flora of Espírito Santo, Brazil: a new species of Ouratea Aubl. (Ochnaceae)
Nordic Journal of Botany, EarlyView.Here, we describe and illustrate the new species Ouratea oberdanii Fraga & Deccache, which is named after Dr Oberdan José Pereira. This new species is found in the mountainous regions of the evergreen Atlantic Forest in the Brazilian state of Espírito Santo. Ouratea oberdanii is similar to O. linearis (A.Gray) Sastre & Offroy and O.
Lara Serpa Jaegge Deccache +4 more
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Sustainable Development, EarlyView.ABSTRACT The fifth industrial revolution (I5.0), which is based on the utilization of interconnected data for efficient resource usage in meeting human requirements, proposes efficient solutions to resource constraint situations. However, the transition to I5.0 in the health sector is not easy and has to face several obstacles.
Ajay Jha +5 more
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