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arXiv · 1208.4923

Reduction operators and exact solutions of variable coefficient nonlinear wave equations with power nonlinearities

Ding-jiang Huang·Qin-min Yang·Shui-geng Zhou
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Abstract

Reduction operators, i.e. the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities is investigated within the framework of singular reduction operator. A classification of regular reduction operators is performedwith 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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Ding-jiang Huang, Qin-min Yang, Shui-geng Zhou. 2012-08-24. Reduction operators and exact solutions of variable coefficient nonlinear wave equations with power nonlinearities. https://arxiv.org/abs/1208.4923

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