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Classification and Approximate Solutions to a Class of Perturbed Nonlinear Wave Equations

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2009 Chinese Physical Society and IOP Publishing Ltd
, , Citation Zhang Zhi-Yong et al 2009 Commun. Theor. Phys. 52 769 DOI 10.1088/0253-6102/52/5/01

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zhiyong-2008@163.com

Author affiliations

1 School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, China

2 Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China

Dates

  1. Received 4 December 2008
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0253-6102/52/5/769

Abstract

A complete approximate symmetry classification of a class of perturbed nonlinear wave equations is performed using the method originated from Fushchich and Shtelen. Moreover, large classes of approximate invariant solutions of the equations based on the Lie group method are constructed.

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10.1088/0253-6102/52/5/01