42 citations · 277 across the 25 of their papers we have counts for
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Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy
A. R. Aguirre, J. F. Gomes, A. L. Retore +2
In this paper we consider the supersymmetric mKdV hierarchy composed of positive odd flows embedded within an affine algebra. Its Bäcklund transformatio…
Miura and Generalized Bäcklund Transformation for KdV Hierarchy
J. F. Gomes, A. L. Retore, A. H. Zimerman
Using the fact that Miura transformation can be expressed in the form of gauge transformation connecting the KdV and mKdV equations, we discuss the derivation of the Bäcklund trans…
The sinh-Gordon defect matrix generalized for n defects
N. I. Spano, A. L. Retore, J. F. Gomes +2
In this paper we obtain a general expression for the n-defect matrix for the sinh-Gordon model. This in turn generate the general Bäcklund transformations (BT) for a system with $n…
Construction of Type-II Backlund Transformation for the mKdV Hierarchy
J. F. Gomes, A. L. Retore, A. H. Zimerman
From an algebraic construction of the mKdV hierarchy we observe that the space component of the Lax operator play a role of an universal algebraic object. This fact induces the uni…