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Here di↵erent B¨acklund Charts are considered both in the case of Commutative Equation Hierarchies as well as in the case of their Non-Commutative analogues. The aim is to point out di↵erences and analogies[1]. Specifically, the case of the Cole-Hopf link between Burgers and Heat Equations [2, 3] and its extension to the corresponding Hierarchies are considered [4]. Furthermore, links connecting third order nonlinear evolution equations, such as KdV, mKdV are analyzed, again, in both the commutative [5] and noncommutative case [6].
Baecklund Charts: commutative versus non-commutative Equation Hierarchies / Carillo, Sandra; LO SCHIAVO, Mauro; C., Schiebold. - STAMPA. - unico:(2014), pp. 235-236. (Intervento presentato al convegno SIMAI 2014 tenutosi a TAORMINA (ME) nel 7-10/07/2014).
Baecklund Charts: commutative versus non-commutative Equation Hierarchies
CARILLO, Sandra;LO SCHIAVO, Mauro;
2014
Abstract
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