Invariant and Some New Exact Solutions of Burgers Equation

Aziz Ouhadan (1) , Toufik Mekkaoui (1) , El-Hassan Elkinani (1)

1 FSTE Errachidia - Faculté des Sciences et Techniques - Errachidia

In this work, first we use the classification of one-dimensional subalgebras of Lie point symmetries admitted by Burgers Equation and the corresponding reduced differential equations to construct a large class of new exact solutions. Second, by using the Riccati transformation method, we obtain some new solutionsof the Burgersequation namely,exponential,rational and periodic solutions.

Mots clés: Burgers equation; Liesymmetries; Riccati transformation; Invariantsolutions; Burgers equation.

Domaines: Equations aux dérivées partielles [math.AP]

Aziz Ouhadan, Toufik Mekkaoui, El-Hassan Elkinani. Invariant and Some New Exact Solutions of Burgers Equation. International Journal of Nonlinear Science, 2011, 11 (1), pp.51-58. ⟨hal-00624619⟩