We consider a special class of nonlinear dispersive equations and search for classical and potential symmetries. We classify them in both cases. Reduced equations and wide classes of solutions of physical interest are obtained. Some equations of this special class are linearized via a symmetry approach, and an equivalence algebra is obtained.
|Titolo:||On some applications of transformation groups to a class of nonlinear dispersive equations|
|Data di pubblicazione:||2012|
|Appare nelle tipologie:||1.1 Articolo in rivista|