38 citations · 216 across the 22 of their papers we have counts for
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math-ph2017★ 7 cited
Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations
Sandra Carillo, Federico Zullo
The class of nonlinear ordinary differential equations , where F is a smooth function, is studied. Various nonlinear ordinary differential equations,…
math-ph2017★ 16 cited
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…
math.AP2017★ 9 cited
KdV-type equations linked via Baecklund transformations: remarks and perspectives
Sandra Carillo
Third order nonlinear evolution equations, that is the Korteweg-deVries (KdV), modified Korteweg-deVries (mKdV) equation and other ones are considered: they all are connected via B…