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论文类型：期刊论文

发表时间：2009-05-01

发表刊物：CHINESE PHYSICS LETTERS

收录刊物：SCIE、ISTIC

卷号：26

期号：5

ISSN号：0256-307X

摘要：Complete group classification of a class of variable coefficient (1+1)-dimensional wave equations is performed. The possible additional equivalence transformations between equations from the class under consideration and the conditional equivalence groups are also investigated. These allow simplification of the results of the classification and further applications of them. The derived Lie symmetries are used to construct exact solutions of special forms of these equations via the classical Lie method. Nonclassical symmetries of the wave equations are discussed.