New version of Bäcklund transformations in Euclidean 3-space [PDF]
, 2019 In this paper, we study the Bäcklund transformations for the adjoint curve in the Euclidean 3-space. Firstly, it is obtained some essential equations of the Bäcklund transformation.
Körpınar, Talat +3 more
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Journal of Applied Mathematics, 2013 I show that the compound modified Korteweg-de Vries-Sine-Gordon equations describe pseudospherical surfaces, that is, these equations are the integrability conditions for the structural equations of such surfaces.
S. M. Sayed
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Is the Z2×Z2-graded sine-Gordon equation integrable?
Nuclear Physics B, 2021 We examine the question of the integrability of the recently defined Z2×Z2-graded sine-Gordon model, which is a natural generalisation of the supersymmetric sine-Gordon equation.
Andrew James Bruce
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On Bäcklund Transformations for Nonlinear Partial Differential Equations [PDF]
, 1995 In this paper, Bäcklund transformations for nonlinear partial differential equations are obtained without using any structure associated with the equations. We classify all the nonlinear partial differential equations of the form uxxx = F(u, ux, ut) that
Wu, H.Y.
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Integrability formulation and bäcklund-transformations for gravitational-fields with symmetries [PDF]
, 1981 © American Physical SocietyThe Ernst equation for gravitational fields with a two-parameter isometry group is formulated as a vanishing-curvature condition on an SU(2) or SU(1,1) bundle, both in the elliptic and hyperbolic cases. Bäcklund transformations
Chinea Trujillo, Francisco Javier
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The conservation laws of several 2+1 dimensional semi-discrete equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, we further develop and enrich the results on conservation laws obtained in Zhu (2003) and present two forms of conservation laws in different directions.
Chun-Xia Li +4 more
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On the properties of Bäcklund transformations on Painleväé 6th equations [PDF]
, 2023 In his series of papers Okamoto give detailed explanation of Painlevé equations of types 2-6. On the other hand Kajiwara et.al described Bäcklund transformations for these types of Painlevé equations.
Balbaan, Davaadorj +1 more
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Connections of zero curvature and Bäcklund transformations [PDF]
, 2015 Zero curvature connections in a principal bundle are introduced. It is shown that such connections are very useful in formulating the Bäcklund problem and in constructing transformations.
Bracken, Paul
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A new approach to Bäcklund transformations for longitudinal dispersion of miscible fluid flow through porous media in oil reservoir during secondary recovery process [PDF]
Theoretical and Applied Mechanics, 2011 In this paper a theoretical model has developed for the dispersion problem in porous media in which the flow is one dimensional and the average flow is unsteady.
Meher Ramakanta, Mehta M.N., Meher S.K.
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On the Bäcklund and Darboux transformations for the Tzitzéica model [PDF]
, 2012 Consideramos dois métodos, chamados transformações de Darboux e Bäcklund, para geração de soluções solitonicas no modelo integrável de Tzitzéica. No contexto de modelos com defeitos, tratamos estas transformações e percebemos que elas estão escondidas no
Araújo, Thiago Rocha [UNESP]
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