A Class of PDEs with Nonlinear Superposition Principles
Joint Authors
Zuliang, Pan
Zhong, Weizhou
Keying, Liu
Peng, Li
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-05
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Through assuming that nonlinear superposition principles (NLSPs) are embedded in a Lie group, a class of 3rd-order PDEs is derived from a general determining equation that determine the invariant group.
The corresponding NLSPs and transformation to linearize the nonlinear PDE are found, hence the governing PDE is proved C-integrable.
In the end, some applications of the PDEs are explained, which shows that the result has very subtle relations with linearization of partial differential equation.
American Psychological Association (APA)
Peng, Li& Keying, Liu& Zuliang, Pan& Zhong, Weizhou. 2012. A Class of PDEs with Nonlinear Superposition Principles. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1028826
Modern Language Association (MLA)
Peng, Li…[et al.]. A Class of PDEs with Nonlinear Superposition Principles. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1028826
American Medical Association (AMA)
Peng, Li& Keying, Liu& Zuliang, Pan& Zhong, Weizhou. A Class of PDEs with Nonlinear Superposition Principles. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1028826
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028826