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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 7
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Articles

Group classification and exact solutions of generalized modified Boussinesq equation

Z. AliDepartment of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, Lahore, 54000Pakistan.
,
I. NaeemDepartment of Mathematics, School of Science and Engineering, Lahore University of Management Sciences, Opposite Sector U DHA, Lahore Cantt, 54792Pakistan.Correspondence[email protected]
&
S.M. HusnineDepartment of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, Lahore, 54000Pakistan.
Pages 1397-1404 | Received 16 Jan 2014, Accepted 03 Jun 2014, Published online: 10 Jul 2014
 
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Abstract

We present symmetry classification and exact solutions of generalized modified Boussinesq (GMB) equation. The direct method of group classification is utilized to determine four different functional forms of . The GMB equation admits two-dimensional principle algebra for arbitrary and the algebra extends to three-dimensional for other forms of . Similarity reductions are made in each case and exact solutions are derived.

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