16 citations · 59 across the 8 of their papers we have counts for
8 papers
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…
Bäcklund transformations: a tool to study Abelian and non-Abelian nonlinear evolution equations
Sandra Carillo, Cornelia Schiebold
The KdV eigenfunction equation is considered: some explicit solutions are constructed. These, to the best of the authors' knowledge, new solutions represent an example of the power…
Construction of soliton solutions of the matrix modified Korteweg-de Vries equation
Sandra Carillo, Cornelia Schiebold
An explicit solution formula for the matrix modified KdV equation is presented, which comprises the solutions given in Ref. 7 (S. Carillo, M. Lo Schiavo, and C. Schiebold. Matrix s…
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…
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…
A novel noncommutative KdV-type equation, its recursion operator, and solitons
Sandra Carillo, Mauro Lo Schiavo, Egmont Porten +1
A noncommutative KdV-type equation is introduced extending the Baecklund chart in [S. Carillo, M. Lo Schiavo, and C. Schiebold, SIGMA 12 (2016)]. This equation, called meta-mKdV he…
Recursion Operators admitted by non-Abelian Burgers equations: Some Remarks
Sandra Carillo, Mauro Lo Schiavo, Cornelia Schiebold
The recursion operators admitted by different operator Burgers equations, in the framework of the study of nonlinear evolution equations, are here con- sidered. Specifically, evolu…
Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart
Sandra Carillo, Mauro Lo Schiavo, Cornelia Schiebold
Classes of third order non-Abelian evolution equations linked to that of Korteweg-de Vries-type are investigated and their connections represented in a non-commutative Bäcklund cha…