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Toda lattice realization of integrable hierarchies
(Kluwer Academic Publ, 1996-12-01)
We present a new realization of scalar integrable hierarchies in terms of the Toda lattice hierarchy. In other words, we show on a large number of examples that an integrable hierarchy, defined by a pseudo-differential Lax ...
Modified Korteweg-de Vries hierarchy with hodograph transformation: Camassa-Holm and Harry-Dym hierarchies
(Elsevier B.V., 2001-03-15)
In this paper, we present relations between Camassa-Holm (CH), Harry-Dym (HD) and modified Korteweg-de Vries (mKdV) hierarchies, which are given by the hodograph type transformation. (C) 2001 IMACS. Published by Elsevier ...
Modified Korteweg-de Vries hierarchy with hodograph transformation: Camassa-Holm and Harry-Dym hierarchies
(Elsevier B.V., 2001-03-15)
In this paper, we present relations between Camassa-Holm (CH), Harry-Dym (HD) and modified Korteweg-de Vries (mKdV) hierarchies, which are given by the hodograph type transformation. (C) 2001 IMACS. Published by Elsevier ...
Toda lattice realization of integrable hierarchies
(Kluwer Academic Publ, 2014)
The higher grading structure of the WKI hierarchy and the two-component short pulse equation
(Springer, 2012-08-01)
A higher grading affine algebraic construction of integrable hierarchies, containing the Wadati-Konno-Ichikawa (WKI) hierarchy as a particular case, is proposed. We show that a two-component generalization of the Schafer-Wayne ...
The higher grading structure of the WKI hierarchy and the two-component short pulse equation
(Springer, 2012-08-01)
A higher grading affine algebraic construction of integrable hierarchies, containing the Wadati-Konno-Ichikawa (WKI) hierarchy as a particular case, is proposed. We show that a two-component generalization of the Schafer-Wayne ...
Gauge Miura and Bäcklund transformations for generalized An-KdV hierarchies
(2021-10-29)
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. As in thewell knownsl(2) case, we derive ...
REDUCTION OF TODA LATTICE HIERARCHY TO GENERALIZED KDV HIERARCHIES AND THE 2-MATRIX MODEL
(World Scientific Publ Co Pte Ltd, 1995-07-10)
Toda lattice hierarchy and the associated matrix formulation of the 2M-boson KP hierarchies provide a framework for the Drinfeld-Sokolov reduction scheme realized through Hamiltonian action within the second KP Poisson ...