Results 91 to 100 of about 883 (177)
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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Plus–minus algorithm — A method for derivation of the Bäcklund transformations [PDF]
, 2009 A new way of deriving Bäcklund transformations for nonlinear partial differential evolution equations is presented and applied to the following equations: Korteweg–de Vries, Gardner, Burgers, generalized KdV and the fifth order equations of the KdV ...
Wietecha, T., Sokalski, K.
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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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Ters saçılma yöntemi ve Bäcklund dönüşümleri [PDF]
, 2023 Cataloged from PDF version of article.Includes bibliographical references (leave 105-109).Solving integrable nonlinear partial differential equations by the method of inverse scattering and Bäcklund transformations are very effective.
Masur, Lütfiye
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Lie groups and Bäcklund transformations: application to nonlinear physical models [PDF]
, 1991 A diversity of physical phenomena is modelled by systems of nonlinear differential equations not, in general, amenable to exact solution. However, in certain cases, exploitation of hidden symmetries in the nonlinear models can lead to solutions and ...
Usha Ramgulam (7158503)
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Hierarchies of Difference Equations and Bäcklund Transformations [PDF]
, 2003 In this paper we present a method for deriving infinite sequences of difference equations containing well known discrete Painlevé equations by using the Bäcklund transformtions for the equations in the second Painlevé equation ...
Clarkson, Peter +2 more
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Bäcklund transformation of Frobenius Painlevé equations [PDF]
, 2018 In this paper, in order to generalize the Painlevé equations, we give a [Formula: see text]-Painlevé IV equation which can apply Bäcklund transformations to explore.
Chuanzhong Li, Haifeng Wang
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On Bäcklund and Ribaucour transformations for hyperbolic linear Weingarten surfaces [PDF]
, 2018 We consider Bäcklund transformations for hyperbolic linear Weingarten surfaces in Euclidean 3-space. The composition of these transformations is obtained in the Permutability Theorem that generates a 4-parameter family of surfaces of the same type. Since
Claudiano Goulart
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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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Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system [PDF]
, 2000 A coupled Ramani equation and its related system are proposed. By dependent variable transformation, they are transformed into bilinear equations. Lax pairs and Bäcklund transformations are presented for these two systems.
Hu, Xing-Biao +2 more
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