17 citations · 65 across the 6 of their papers we have counts for
6 papers
Complex KdV rogue waves from gauge-Miura transformation
Ysla F. Adans, Guilherme França, José F. Gomes +2
The gauge-Miura correspondence establishes a map between the entire KdV and mKdV hierarchies, including positive and also negative flows, from which new relations besides the stand…
Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations
Ysla F. Adans, Guilherme França, José F. Gomes +2
The KdV hierarchy is a paradigmatic example of the rich mathematical structure underlying integrable systems and has far-reaching connections in several areas of theoretical physic…
The algebraic structure behind the derivative nonlinear Schroedinger equation
G. S. Franca, J. F. Gomes, A. H. Zimerman
The Kaup-Newell (KN) hierarchy contains the derivative nonlinear Schr\" odinger equation (DNLSE) amongst others interesting and important nonlinear integrable equations. In this pa…
The higher grading structure of the WKI hierarchy and the two-component short pulse equation
G. S. Franca, J. F. Gomes, A. H. Zimerman
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…
Nonvanishing boundary condition for the mKdV hierarchy and the Gardner equation
J. F. Gomes, Guilherme S. França, A. H. Zimerman
A Kac-Moody algebra construction for the integrable hierarchy containing the Gardner equation is proposed. Solutions are systematically constructed employing the dressing method an…
Negative Even Grade mKdV Hierarchy and its Soliton Solutions
J. F. Gomes, G. Starvaggi Franca, G. R. de Melo +1
In this paper we provide an algebraic construction for the negative even mKdV hierarchy which gives rise to time evolutions associated to even graded Lie algebraic structure. We pr…