3 papers
nlin.SI2023
Soliton equations: admitted solutions and invariances via Bäcklund transformations
Sandra Carillo, Cornelia Schiebold
A couple of applications of Bäcklund transformations in the study of nonlinear evolution equations is here given. Specifically, we are concerned about third order nonlinear evoluti…
math-ph2019
Matrix solitons solutions of the modified Korteweg-de Vries equation
Sandra Carillo, Mauro Lo Schiavo, Cornelia Schiebold
Nonlinear non-Abelian Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations and their links via Baecklund transformations are considered. The focus is on the cons…
nlin.SI2018
Abelian versus non-Abelian Baecklund Charts: some remarks
Sandra Carillo, Mauro Lo Schiavo, Cornelia Schiebold
Connections via Baecklund transformations among different non-linear evolution equations are investigated aiming to compare corresponding Abelian and non Abelian results. Specifica…