An optimal system and some group-invariant solutions of the Benney equation

Yang Shangrong

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An optimal system and some group-invariant solutions of the Benney equation

Yang Shangrong *

School of Mathematics and Statistics, Lanzhou University

*Correspondence author

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Funding: none

Opened online:14 December 2009

Accepted by: none

Citation: Yang Shangrong.An optimal system and some group-invariant solutions of the Benney equation[OL]. [14 December 2009] http://en.paper.edu.cn/en_releasepaper/content/37538

By using lie group method the Benney equation is studied. Its one-parameter Lie point symmetries and adjoint representations are obtained. An optimal system of one-dimensional subalgebras is derived and used to construct some special closed-form solutions of the equation with the help of G‘/G-expansion method.

Keywords:Benney equation;symmetry group;optimal system;G’/G-expansion method

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