Group Classification and Exact Solutions of a Class of Variable Coefficient Nonlinear Wave Equations |
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| Authors: | HUANG Ding-Jiang MEI Jian-Qin ZHANG Hong-Qing |
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| Affiliation: | Department of Mathematics, East China University of Science and Technology, Shanghai 200237Department of Applied Mathematics, Dalian University of Technology, Dalian 116024 |
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| Abstract: | 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. |
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| Keywords: | 02 20 Sv 02 30 Jr |
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