Two-component generalization of a generalized the short pulse equation

Abstract EN

In this article, we introduce a two-component generalization for a new generalization type of the short pulse equation was recently found by Hone and his collaborators.

The coupled of nonlinear equations is analyzed from the viewpoint of Lie’s method of a continuous group of point transformations.

Our results show the symmetries that the system of nonlinear equations can admit, as well as the admitting of the three-dimensional Lie algebra.

Moreover, the Lie brackets for the independent vectors field are presented.

Similarity reduction for the system is also discussed.