We consider a general class of variable coefficient Calogero-Degasperis equations. The complete Lie group classification is performed with the aid of the appropriate equivalence group. Lie symmetries are used to derive a number of reductions by constructing the corresponding optimal lists of one-dimensional subalgebras of the Lie symmetry algebras. Furthermore, a number of non-Lie reductions are given. One of the reduced equations is the variable coefficient potential KdV equation which is studied from the point of view of Lie group analysis.
|Titolo:||Lie symmetry analysis of a variable coefficient Calogero-Degasperis equation|
|Data di pubblicazione:||2018|
|Appare nelle tipologie:||1.1 Articolo in rivista|