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- Title
Reduction Operators and Exact Solutions of Variable Coefficient Nonlinear Wave Equations with Power Nonlinearities.
- Authors
Dingjiang Huang; Yan Zhu; Qinmin Yang
- Abstract
Reduction operators, i.e., the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities, are investigated within the framework of a singular reduction operator. A classification of regular reduction operators is performed with respect to generalized extended equivalence groups. Exact solutions of some nonlinear wave models, which are invariant under certain reduction operators, are also constructed.
- Subjects
NONLINEAR wave equations; NONLINEAR theories; NONCLASSICAL mathematical logic; MATHEMATICAL symmetry; MATHEMATICAL equivalence
- Publication
Symmetry (20738994), 2017, Vol 9, Issue 1, p3
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym9010003