Open Access
2012 A Class of PDEs with Nonlinear Superposition Principles
Li Peng, Liu Keying, Pan Zuliang, Zhong Weizhou
J. Appl. Math. 2012: 1-15 (2012). DOI: 10.1155/2012/346824


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.


Download Citation

Li Peng. Liu Keying. Pan Zuliang. Zhong Weizhou. "A Class of PDEs with Nonlinear Superposition Principles." J. Appl. Math. 2012 1 - 15, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1246.35021
MathSciNet: MR2904549
Digital Object Identifier: 10.1155/2012/346824

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
Back to Top