Reduction operators and exact solutions of variable coefficient nonlinear wave equations with power nonlinearities
Mathematical Physics
2013-12-19 v3 math.MP
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.
Cite
@article{arxiv.1208.4923,
title = {Reduction operators and exact solutions of variable coefficient nonlinear wave equations with power nonlinearities},
author = {Ding-jiang Huang and Qin-min Yang and Shui-geng Zhou},
journal= {arXiv preprint arXiv:1208.4923},
year = {2013}
}
Comments
17 pages