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2015 Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations
Ivan Tsyfra, Tomasz Czyżycki
Abstr. Appl. Anal. 2015: 1-6 (2015). DOI: 10.1155/2015/181275


We study the symmetry reduction of nonlinear partial differential equations with two independent variables. We propose new ansätze reducing nonlinear evolution equations to system of ordinary differential equations. The ansätze are constructed by using operators of nonpoint classical and conditional symmetry. Then we find solution to nonlinear heat equation which cannot be obtained in the framework of the classical Lie approach. By using operators of Lie-Bäcklund symmetries we construct the solutions of nonlinear hyperbolic equations depending on arbitrary smooth function of one variable too.


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Ivan Tsyfra. Tomasz Czyżycki. "Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations." Abstr. Appl. Anal. 2015 1 - 6, 2015.


Published: 2015
First available in Project Euclid: 11 November 2015

zbMATH: 1343.47077
MathSciNet: MR3413002
Digital Object Identifier: 10.1155/2015/181275

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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