期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 217, 期 16, 页码 7021-7027出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.02.003
关键词
Benjamin-Bona-Mahony equation; Lie classical method; Painleve analysis; Exact solutions
The Lie-group formalism is applied to investigate the symmetries of the Benjamin-Bona-Mahony (BBM) equation with variable coefficients. We derive the infinitesimals and the admissible forms of the coefficients that admit the classical symmetry group. The ordinary differential equations deduced from the optimal system of subalgebras are further studied and some exact solutions are obtained. (C) 2011 Elsevier Inc. All rights reserved.
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