New Exact Solution of a Class of Kuramoto Sivashinsky (KS) Equations using Double Reduction Theory


Authors : J. E. Okeke; O.C. Okoli; T. A. Obi; R.N. Ujumad

Volume/Issue : Volume 7 - 2022, Issue 3 - March

Google Scholar : https://bit.ly/3IIfn9N

Scribd : https://bit.ly/3IWP9Ad

DOI : https://doi.org/10.5281/zenodo.6396936

Conservation laws and symmetries of partial differential equations (PDEs) are very useful in finding new methods for reducing PDEs. In this paper, we study the conservation laws and symmetries of a class of a famous fourth-order Kuramoto Sivashinsky (KS) equation. The invariance properties of the conserved vectors with the Lie point symmetry generators are examined using the Double reduction method. With the Double reduction method, the equation is reduced into solvable PDEs or even ordinary differential equations. Some of these reductions yielded some important differential equations that have been investigated by many reseachers. Furthermore, we obtain important and nontrivial solution in terms of generalized Hypergeometric function which possesses significant features in evolution phenomena. Our results not only contributed extra features to the already existing solutions in literature but are also useful in the analysis of wave propagation in plasma, solid state and fluid physics.

Keywords : Lie Symmetries; Conservation Laws; Double Reduction; Exact Solutions

CALL FOR PAPERS


Paper Submission Last Date
31 - July - 2022

Paper Review Notification
In 1-2 Days

Paper Publishing
In 2-3 Days

Never miss an update from Papermashup

Get notified about the latest tutorials and downloads.

Subscribe by Email

Get alerts directly into your inbox after each post and stay updated.
Subscribe
OR

Subscribe by RSS

Add our RSS to your feedreader to get regular updates from us.
Subscribe