16 citations · 59 across the 8 of their papers we have counts for
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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…
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…