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Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-07
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tsyfra, Ivan& Czyżycki, Tomasz. 2015. Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1051994
Modern Language Association (MLA)
Tsyfra, Ivan& Czyżycki, Tomasz. Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations. Abstract and Applied Analysis No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1051994
American Medical Association (AMA)
Tsyfra, Ivan& Czyżycki, Tomasz. Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1051994
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051994