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Volume 22, Issue 2
Modified Boussinesq System with Variable Coefficients: Classical Lie Approach and Exact Solutions

R. K. Gupta & K. Singh

J. Part. Diff. Eq., 22 (2009), pp. 97-110.

Published online: 2009-05

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  • 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.

  • Keywords

Lie symmetries nonlinear diffusion exact solutions optimal system reductions global solutions characteristic algebraic system

  • AMS Subject Headings

35Q53 37J15 35G99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-22-97, author = {R. K. Gupta and K. Singh }, title = {Modified Boussinesq System with Variable Coefficients: Classical Lie Approach and Exact Solutions}, journal = {Journal of Partial Differential Equations}, year = {2009}, volume = {22}, number = {2}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5249.html} }
TY - JOUR T1 - Modified Boussinesq System with Variable Coefficients: Classical Lie Approach and Exact Solutions AU - R. K. Gupta & K. Singh JO - Journal of Partial Differential Equations VL - 2 SP - 97 EP - 110 PY - 2009 DA - 2009/05 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5249.html KW - Lie symmetries KW - nonlinear diffusion KW - exact solutions KW - optimal system KW - reductions KW - global solutions KW - characteristic algebraic system AB -

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.

R. K. Gupta and K. Singh . (2009). Modified Boussinesq System with Variable Coefficients: Classical Lie Approach and Exact Solutions. Journal of Partial Differential Equations. 22 (2). 97-110. doi:
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