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