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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… Click to show full 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.
Keywords:
reduction;
reduction operators;
coefficient nonlinear;
nonlinear wave;
wave equations;
variable coefficient
Journal Title: Symmetry
Year Published: 2017
Link to full text (if available)
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Journal Title: Symmetry
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!