Ding-jiang Huang, Qin-min Yang, Shui-geng Zhou
Reduction operators, i.e. the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations containing three arbitrary functions and two power nonlinearities is investigated within theframework of singular reduction operator. A classification of regular reduction operators is performed with respect to generalized extended equivalence groups. Exact solutions of some nonlinear wave model which are invariant under certain reduction operators are also constructed.
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http://arxiv.org/abs/1208.4923
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