Approximate Generalized Conditional Symmetries for the Perturbed General KdV--Burgers Equation

Chin. Phys. Lett.

2006, Vol. 23

Issue (10): 2625-2628 DOI:

Original Articles

Approximate Generalized Conditional Symmetries for the Perturbed General KdV--Burgers Equation

ZHANG Shun-Li^1,2,3;WANG Peng-Zhou¹;QU Chang-Zheng¹

¹Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi’an 710069 ³Institute of Modern Physics, Northwest University, Xi’an 710069 ²Center of Nonlinear Science, Ningbo University, Ningbo 315211

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ZHANG Shun-Li, WANG Peng-Zhou, QU Chang-Zheng 2006 Chin. Phys. Lett. 23 2625-2628

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Abstract The approximate generalized conditional symmetry (AGCS) approach we previously proposed [Chin. Phys. Lett.23(2006)527] is applied to study the perturbed general KdV--Burgers (KdVB) equation. Complete classification of those perturbed general KdVB equations which admit certain types of AGCSs is obtained. Approximate solutions to the perturbed equations can be derived from the corresponding unperturbed ones.

Keywords: 02.20.Sv 02.30.Jr 02.30.Mv

Published: 01 October 2006

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	02.30.Jr	(Partial differential equations)
	02.30.Mv	(Approximations and expansions)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2006/V23/I10/02625

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