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   Articles with "darboux" as a keyword



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Higher dimensional Darboux transformations

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recommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.04.031

Abstract: Abstract We give conditions for a first order partial differential operator to serve as an n-dimensional Darboux transformation between two second-order partial differential operators. We show that some of these conditions are given by first… read more here.

Keywords: order; partial differential; darboux; darboux transformations ... See more keywords

m-step rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials

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recommendations! Published in 2024 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0241935

Abstract: A previous construction of regular rational extensions of the trigonometric Darboux-Pöschl-Teller potential, obtained by one-step Darboux transformations using seed functions associated with the para-Jacobi polynomials of Calogero and Yi, is generalized by considering m-step Darboux… read more here.

Keywords: darboux schl; schl teller; extensions trigonometric; darboux ... See more keywords

Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications

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recommendations! Published in 2018 at "Journal of Nonlinear Mathematical Physics"

DOI: 10.1080/14029251.2018.1494779

Abstract: In this paper, we construct a Darboux transformation and the related Bäcklund transformation for the super-symmetric Sawada-Kotera (SSK) equation. The associated nonlinear superposition formula is also worked out. We demonstrate that these are natural extensions… read more here.

Keywords: sawada kotera; darboux; cklund; supersymmetric sawada ... See more keywords

Invariant nature of Darboux normal curves on a smooth surface under isometry

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recommendations! Published in 2024 at "Filomat"

DOI: 10.2298/fil2429485s

Abstract: In this article, we explore the relationships between the Darboux frame and the Frenet frame by investigating the invariant sufficient conditions for the isometric image of a Darboux normal curve when using the Darboux frame… read more here.

Keywords: isometry; nature darboux; smooth surface; invariant nature ... See more keywords