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A Potential Constraints Method of Finding Nonclassical Symmetry of PDEs Based on Wu’s Method
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-18
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Solving nonclassical symmetry of partial differential equations (PDEs) is a challenging problem in applications of symmetry method.
In this paper, an alternative method is proposed for computing the nonclassical symmetry of PDEs.
The method consists of the following three steps: firstly, a relationship between the classical and nonclassical symmetries of PDEs is established; then based on the link, we give three principles to obtain additional equations (constraints) to extend the system of the determining equations of the nonclassical symmetry.
The extended system is more easily solved than the original one; thirdly, we use Wu’s method to solve the extended system.
Consequently, the nonclassical symmetries are determined.
Due to the fact that some constraints may produce trivial results, we name the candidate constraints as “potential” ones.
The method gives a new way to determine a nonclassical symmetry.
Several illustrative examples are given to show the efficiency of the presented method.
American Psychological Association (APA)
Bai, Tonglaga& Chaolu, Temuer. 2019. A Potential Constraints Method of Finding Nonclassical Symmetry of PDEs Based on Wu’s Method. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1119050
Modern Language Association (MLA)
Bai, Tonglaga& Chaolu, Temuer. A Potential Constraints Method of Finding Nonclassical Symmetry of PDEs Based on Wu’s Method. Advances in Mathematical Physics No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1119050
American Medical Association (AMA)
Bai, Tonglaga& Chaolu, Temuer. A Potential Constraints Method of Finding Nonclassical Symmetry of PDEs Based on Wu’s Method. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1119050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119050