Results 11 to 20 of about 582,098 (170)
Bäcklund Transformations for First and Second Painlevé Hierarchies [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We give Bäcklund transformations for first and second Painlevé hierarchies. These Bäcklund transformations are generalization of known Bäcklund transformations of the first and second Painlevé equations and they relate the considered hierarchies to new ...
Ayman Hashem Sakka
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Two Kinds of Darboux-Bäcklund Transformations for the q-Deformed KdV Hierarchy with Self-Consistent Sources [PDF]
Advances in Mathematical Physics, 2016 Two kinds of Darboux-Bäcklund transformations (DBTs) are constructed for the q-deformed Nth KdV hierarchy with self-consistent sources (q-NKdVHSCS) by using the q-deformed pseudodifferential operators.
Hongxia Wu +3 more
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Generalized Bäcklund transformations for affine Toda hierarchies
, 2021 The construction of generalized Bäcklund transformation for the An affine Toda hierarchy is proposed in terms of gauge transformation acting on the zero curvature representation.
De Carvalho Ferreira, J. M. [UNESP] +3 more
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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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ON BÄCKLUND TRANSFORMATIONS WITH SPLIT QUATERNIONS
, 2020 The present paper deals with the introduction of Bäcklund Transformations with split quaternions in Minkowski space. Firstly, we tersely summarized the basic concepts of split quaternion theory and Bishop Frames of non-null curves in Minkowski space ...
Sariaydin, Muhammed Talat
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Gauge Miura and Bäcklund transformations for generalized An-KdV hierarchies
, 2021 The construction of Miura and Bäcklund transformations for An mKdV and KdV hierarchies are presented in terms of gauge transformations acting upon the zero curvature representation.
De Carvalho Ferreira, J. M. [UNESP] +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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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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