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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 ...
Toda lattice realization of integrable hierarchies
(Kluwer Academic Publ, 2014)
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 ...
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 ...
Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations
(2018-01-01)
The integrability of the 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 ...
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 ...
Construction of type-II Bäcklund transformation for the mKdV hierarchy
(2015-09-14)
From an algebraic construction of the mKdV hierarchy we observe that the space component of the Lax operator plays the role of a universal algebraic object. This fact induces the universality of a gauge transformation that ...