Results 11 to 20 of about 582,779 (212)
The Darboux system: Finite-rank constraints and Darboux transformations [PDF]
Journal of Mathematical Physics, 1997 The exponential solutions of the Darboux equations for conjugate nets is considered. It is shown that rank-one constraints over the right derivatives of invertible operators on an arbitrary linear space give solutions of the Darboux system, which can be understood as a vectorial Darboux transformation of the exponential background.
Guil Guerrero, Francisco José +1 more
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Monodromy of discrete Darboux transformations
, 2021 The monodromy of Darboux transformations of smooth isothermic surfaces can be simplified via the gauge theoretic approach. In pursuit of the discrete analogue, we consider the discrete curve case. In particular, using a quaternionic approach, we not only
Cho, Joseph
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Lax Representation and Darboux Solutions of the Classical Painlevé Second Equation
Advances in Mathematical Physics, 2021 In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpress the classical Painlevé second Lax pair in new setting introducing gauge transformations to yield its Darboux expression in additive form. The new linear
Irfan Mahmood, Muhammad Waseem
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A Method for Obtaining Darboux Transformations [PDF]
Journal of Nonlinear Mathematical Physics, 1998 In this paper we give a method to obtain Darboux transformations (DTs) of integrable equations. As an example we give a DT of the dispersive water wave equation. Using the Miura map, we also obtain the DT of the Jaulent-Miodek equation. \end{abstract}
Lu, Baoqun, He, Yong, Ni, Guangjiong
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Darboux Transformation for the Hirota Equation
Zurnal matematiceskoj fiziki, analiza, geometrii, 2022 The Hirota equation is an integrable higher order nonlinear Schrödinger type equation which describes the propagation of ultrashort light pulses in optical fibers. We present a standard Darboux transformation for the Hirota equation and then construct its quasideterminant solutions.
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Darboux transforms of Dupin surfaces [PDF]
Banach Center Publications, 2002 We present a Mobius invariant construction of the Darboux transformation for isothermic surfaces by the method of moving frames and use it to give a complete classification of the Darboux transforms of Dupin ...
MUSSO E., NICOLODI, Lorenzo
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Darboux transformation with dihedral reduction group [PDF]
, 2014 We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generalisation of the periodic Volterra lattice. The resulting Bäcklund transformation can be viewed as a nonevolutionary integrable differential difference ...
Papamikos, Georgios +6 more
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Elementary Darboux Transformations and Factorization [PDF]
Theoretical and Mathematical Physics, 2005 10 ...
Musso, F., Shabat, A. B.
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A generalized method for the Darboux transformation
Journal of Mathematical Physics, 2022 A method is presented to obtain the change in the potential and in the relevant wavefunction of a linear system of ordinary differential equations containing a spectral parameter, when that linear system is perturbed and a finite number of discrete eigenvalues are added to or removed from the spectrum.
Tuncay Aktosun, Mehmet Unlu
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Bäcklund transformations for noncommutative anti-self-dual Yang-Mills equations [PDF]
, 2009 We present Bäcklund transformations for the non-commutative anti-self-dual Yang–Mills equations where the gauge group is G = GL(2) and use it to generate a series of exact solutions from a simple seed solution.
Gilson, C.R. +5 more
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