16 citations · 53 across the 7 of their papers we have counts for
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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…
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…
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…