Modified Boussinesq System with Variable Coefficients: Classical Lie Approach and Exact Solutions

Modified Boussinesq System with Variable Coefficients: Classical Lie Approach and Exact Solutions

Year:    2009

Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 2 : pp. 97–110

Abstract

The Lie-group formalism is applied to investigate the symmetries of the modified Boussinesq system with variable coefficients. We derived the infinitesimals and the admissible forms of the coefficients that admit the classical symmetry group. The reduced systems of ordinary differential equations deduced from the optimal system of subalgebras are further studied and some exact solutions are obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-JPDE-5249

Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 2 : pp. 97–110

Published online:    2009-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Lie symmetries