A Class of PDEs with Nonlinear Superposition Principles

Li Peng, Liu Keying, Pan Zuliang and Zhong Weizhou

Journal of Applied Mathematics, 2012, vol. 2012, 1-15

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:346824

DOI: 10.1155/2012/346824

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