Exact solutions of semilinear radial wave equations in n dimensions
نویسندگان
چکیده
Exact solutions are derived for an n-dimensional radial wave equation with a general power nonlinearity. The method is based on the introduction of groupinvariant jet space variables associated with the point symmetry group admitted for the wave equation and is applicable more generally to any nonlinear PDEs. It is shown to yield not only group-invariant solutions as derived by standard symmetry reduction, but also other exact solutions of a more general form. In particular, some solutions with interesting analytical behavior are obtained. Exact solutions of semilinear radial wave equations 2
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تاریخ انتشار 2003