108 citations · 1.2k across the 108 of their papers we have counts for
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Deformations of N=2 super-conformal algebra and supersymmetric two-component Camassa-Holm equation
H. Aratyn, J. F. Gomes, A. H. Zimerman
This paper is concerned with a link between central extensions of N=2 superconformal algebra and a supersymmetric two-component generalization of the Camassa--Holm equation. Deform…
On a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation
H. Aratyn, J. F. Gomes, A. H. Zimerman
Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle are constructed and then reduced to the two-component Camassa--Holm model. Only three…
Integrable Field Theories with Defects
J. F. Gomes, L. H. Ymai, A. H. Zimerman
The structure of integrable field theories in the presence of defects is discussed in terms of boundary functions under the Lagrangian formalism. Explicit examples of bosonic and f…
Soliton Solutions for the Super mKdV and sinh-Gordon Hierarchy
J. F. Gomes, L. H. Ymai, A. H. Zimerman
The dressing and vertex operator formalism is emploied to study the soliton solutions of the N=1 super mKdV and sinh-Gordon models. Explicit two and four vertex solutions are const…
Classical Integrable Super sinh-Gordon equation with defects
J. F. Gomes, L. H. Ymai, A. H. Zimerman
The introduction of defects is discussed under the Lagrangian formalism and Backlund transformations for the N=1 super sinh-Gordon model. Modified conserved momentum and energy are…