Results 11 to 20 of about 883 (177)
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
doaj +5 more sources
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
doaj +2 more sources
Bäcklund Transformations for the Kirchhoff Top [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We construct Bäcklund transformations (BTs) for the Kirchhoff top by taking advantage of the common algebraic Poisson structure between this system and the sl(2) trigonometric Gaudin model.
Orlando Ragnisco, Federico Zullo
doaj +2 more sources
Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations [PDF]
Journal of High Energy Physics, 2018 The integrability of the N=1 $$ \mathcal{N}=1 $$ supersymmetric modified Korteweg de-Vries (smKdV) hierarchy in the presence of defects is investigated through the construction of its super Bäcklund transformation. The construction of such transformation
A.R. Aguirre +4 more
doaj +2 more sources
Generalized Bäcklund transformations for affine Toda hierarchies [PDF]
, 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
core +1 more source
ON BÄCKLUND TRANSFORMATIONS WITH SPLIT QUATERNIONS [PDF]
, 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
core +1 more source
Gauge Miura and Bäcklund transformations for generalized An-KdV hierarchies [PDF]
, 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
core +1 more source
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
core +1 more source
Nonclassical Symmetries and Bäcklund Transformations [PDF]
, 1993 In this paper we show how to obtain well-known Bäcklund transformations of several equations by applying the nonclassical symmetries method. In particular, we derive the Bäcklund transformation between the modified Korteweg-de Vries and the Korteweg-de ...
Nucci, M.C., NUCCI, Maria Clara
core +1 more source
Bäcklund Transformations for Integrable Geometric Curve Flows [PDF]
, 2015 We study the Bäcklund transformations of integrable geometric curve flows in certain geometries. These curve flows include the KdV and Camassa-Holm flows in the two-dimensional centro-equiaffine geometry, the mKdV and modified Camassa-Holm flows in the ...
Changzheng Qu, Jingwei Han, Jing Kang
core +1 more source