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.
On some applications of transformation groups to a class of nonlinear dispersive equations
TRACINA', RITA
2012-01-01
Abstract
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.File in questo prodotto:
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