Results 21 to 30 of about 1,595,275 (210)
Darboux transformation and solution of the modified Korteweg–de Vries equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2015 Darboux transformation and a comprehensive approach to construct exact solutions of the nonlinear differential equation are counted. It is applied to construct the explicit solutions of the (2+1)-dimensional modified Korteweg-de Vries (KdV) equation. In
G. Kemelbekova +3 more
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THE μ–DARBOUX TRANSFORMATION OF MINIMAL SURFACES
, 2019 The classical notion of the Darboux transformation of isothermic surfaces can be generalised to a transformation for conformal immersions. Since a minimal surface is Willmore, we can use the associated C∗–family of flat connections of the harmonic ...
K. Leschke (7749791), K. Moriya (495544)
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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 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 unified approach to Darboux transformations [PDF]
Inverse Problems, 2009 We analyze a certain class of integral equations related to Marchenko equations and Gel'fand-Levitan equations associated with various systems of ordinary differential operators. When the integral operator is perturbed by a finite-rank perturbation, we explicitly evaluate the change in the solution.
TUNCAY AKTOSUN +1 more
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Darboux transformation: new identities [PDF]
Physica Scripta, 2019 Abstract This letter reports some new identities for multisoliton potentials that are based on the explicit representation provided by the Darboux matrix. These identities can be used to compute the complex gradient of the energy content of the tail of the profile with respect to the discrete eigenvalues and the norming constants. The
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Acta Polytechnica, 2023 We generate solvable cases of the two angular equations resulting from variable separation in the three-dimensional Dunkl-Schrödinger equation expressed in spherical coordinates.
Axel Schulze-Halberg
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Mathematics, 2021 In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given.
Yu-Shan Bai, Peng-Xiang Su, Wen-Xiu Ma
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