17 citations · 65 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
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…