Results 81 to 90 of about 582,098 (170)
Integrable Anisotropic Evolution Equations on a Sphere
Symmetry, Integrability and Geometry: Methods and Applications, 2005 V.V. Sokolov's modifying symmetry approach is applied to anisotropic evolution equations of the third order on the n-dimensional sphere. The main result is a complete classification of such equations.
Anatoly G. Meshkov, Maxim Ju. Balakhnev
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Bäcklund transformations according to Bishop frame in E31
, 2015 In this study we have defined Bäcklund transformations of curves according to Bishop frame preserving the natural curvatures under certain assumptions in Minkowski 3-space. © 2015, University of Tartu.
Tunçer, Yılmaz, Karacan, Murat Kemal
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Bäcklund transformations and exact solutions for some nonlinear evolution equations in solar magnetostatic models [PDF]
, 2002 The Bäcklund transformations for some nonlinear evolution equations (the Liouville, the sine and sinh-Poisson equations) are constructed through the AKNS system in unified manner.
Malfliet, W. +3 more
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, 2021 We demonstrate the way to derive the second Painlevé equation P2 and its Bäcklund transformations from the deformations of the Nonlinear Schrödinger equation (NLS), all the while preserving the strict invariance with respect to the Schlesinger ...
Valerian A. Yurov, Artyom V. Yurov
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Families of Integrable Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations.
Pavlos Kassotakis, Maciej Nieszporski
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Bäcklund transformations for higher order Painlevé equations
, 2004 We present a new generalized algorithm which allows the construction of Bäcklund transformations (BTs) for higher order ordinary differential equations (ODEs).
Gordoa, P.R. +4 more
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Bäcklund transformations for a new extended Painlevé hierarchy
, 2019 This work is supported by the Ministry of Economy and Competitiveness of Spain under contract MTM2016-80276-P (AEI / FEDER, EU). We also gratefully acknowledge financial support from Universidad Rey Juan Carlos - Banco de Santander (Excellence group ...
Gordoa, Pilar R, Pickering, Andrew
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Bäcklund transformations for two new integrable partial differential equations
, 2002 We give two new completely integrable sixth-order partial differential equations, together with their Lax pairs and Darboux transformations. From these last we are able to derive the corresponding Bäcklund transformations.
P. R. Gordoa, A. Pickering
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Miura and Bäcklund transformations and integrable hierarchies
, 2023 Neste trabalho apresentamos a construção sistemática de hierarquias integráveis através da condição de curvatura nula, garantindo a existência de quantidades conservadas.
Lobo, Gabriel Vieira
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A Two-Component Generalization of the Integrable rdDym Equation
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We find a two-component generalization of the integrable case of rdDym equation. The reductions of this system include the general rdDym equation, the Boyer-Finley equation, and the deformed Boyer-Finley equation.
Oleg I. Morozov
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