Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 71, Issue 3, Pages 748-757Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2015.12.035
Keywords
Generalized Benney system; Symmetry analysis; Geometric approach; Symmetry reduction
Categories
Funding
- National Natural Science Foundation of China [11271362, 11375030]
- Beijing Natural Science Fund Project
- Beijing City Board of Education Science and Technology [KZ201511232034]
- Beijing Natural Science Foundation [1153004]
- Beijing Nova program [Z131109000413029]
- Beijing Finance Funds of Natural Science Program for Excellent Talents [2014000026833ZK19]
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In this work, the symmetry group and similarity reductions of the two-dimensional generalized Benney system are investigated by means of the geometric approach of an invariance group, which is equivalent to the classical Lie symmetry method. Firstly, the vector field associated with the Lie group of transformation is obtained. Then the point transformations are proposed, which keep the solutions of the generalized Benney system invariant. Finally, the symmetry reductions and explicitly exact solutions of the generalized Benney system are derived by solving the corresponding symmetry equations. (C) 2016 Elsevier Ltd. All rights reserved.
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