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

Mathematics

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