Next Article in Journal
Unmanned Aerial Vehicle Flight Point Classification Algorithm Based on Symmetric Big Data
Next Article in Special Issue
Non-Local Meta-Conformal Invariance, Diffusion-Limited Erosion and the XXZ Chain
Previous Article in Journal
Accurate Dense Stereo Matching Based on Image Segmentation Using an Adaptive Multi-Cost Approach
Previous Article in Special Issue
Noether Symmetries Quantization and Superintegrability of Biological Models
Open AccessArticle

Reduction Operators and Exact Solutions of Variable Coefficient Nonlinear Wave Equations with Power Nonlinearities

Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China
*
Author to whom correspondence should be addressed.
Academic Editor: Roman M. Cherniha
Symmetry 2017, 9(1), 3; https://doi.org/10.3390/sym9010003
Received: 13 October 2016 / Revised: 13 December 2016 / Accepted: 14 December 2016 / Published: 22 December 2016
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. View Full-Text
Keywords: symmetry analysis; reduction operators; equivalence group; nonlinear wave equation; exact solutions symmetry analysis; reduction operators; equivalence group; nonlinear wave equation; exact solutions
MDPI and ACS Style

Huang, D.; Zhu, Y.; Yang, Q. Reduction Operators and Exact Solutions of Variable Coefficient Nonlinear Wave Equations with Power Nonlinearities. Symmetry 2017, 9, 3. https://doi.org/10.3390/sym9010003

AMA Style

Huang D, Zhu Y, Yang Q. Reduction Operators and Exact Solutions of Variable Coefficient Nonlinear Wave Equations with Power Nonlinearities. Symmetry. 2017; 9(1):3. https://doi.org/10.3390/sym9010003

Chicago/Turabian Style

Huang, Dingjiang; Zhu, Yan; Yang, Qinmin. 2017. "Reduction Operators and Exact Solutions of Variable Coefficient Nonlinear Wave Equations with Power Nonlinearities" Symmetry 9, no. 1: 3. https://doi.org/10.3390/sym9010003

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop