Two-Component Generalization of a Generalized the Short Pulse Equation

  • Mohammed Allami Department of Mathematics, College of Education, Misan University, Misan, Iraq

Abstract

     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.

Published
Aug 26, 2019
How to Cite
ALLAMI, Mohammed. Two-Component Generalization of a Generalized the Short Pulse Equation. Iraqi Journal of Science, [S.l.], p. 1760-1765, aug. 2019. ISSN 2312-1637. Available at: <http://scbaghdad.edu.iq/eijs/index.php/eijs/article/view/778>. Date accessed: 17 sep. 2019.
Section
Mathematics