Benney-Lin and Kawahara equations: a detailed study through Lie symmetries and Painlevé analysis

Abstract

We perform a detailed study on the integrability of the Benney-Lin and KdV-Kawahara equations by using the Lie symmetry analysis and the singularity analysis. We find that the equations under our consideration admit integrable travelling-wave solutions. The singularity analysis is applied for the partial differential equations and the generic algebraic solution is presented.

12 pages, no figures, to appear in Physica Scripta

References in corpus (3)

• Cosmological Solutions of $f(T)$ Gravity
• Two dimensional dynamical systems which admit Lie and Noether symmetries
• The geometric origin of Lie point symmetries of the Schrödinger and the Klein Gordon equations