Abstract:

Applying the classical Lie symmetry method, we investigated the problem of determining the largest possible set of Lie point symmetries for an improved Boussinesq equation. The most general Lie point symmetry group of the improved Boussinesq equation was determined and the corresponding group\|invariant solutions, such as travelling wave solutions were obtained.

Key words: Lie group, Lie symmetry, Boussinesq equation, groupinvariant solution