Exact solution for sawada–kotera equation using backland transformations and travelling wave solutions

Abstract

Nonlinear phenomena are very important in a variety of scientific fields. Finding solutions of nonlinear partial differential equations is one of the most difficult problems in mathematics and physics. A precise solution is derived for these non-linear evolution equations (NLEEs), which has been illustrated by the solitary wave solutions for the fifth degree equations, the Sawada-Kotera equation, and then we apply the Backland trans-formation, which shows a new special precise solution. © 2021, Research Publication. All rights reserved.