TY - JOUR
T1 - Modified Boussinesq System with Variable Coefficients: Classical Lie Approach and Exact Solutions
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 - <p>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.</p>