The Lie symmetry analysis and exact Jacobi elliptic solutions for the Kawahara–KdV type equations

• DOI: 10.1016/j.rinp.2021.104006
• Publication Date: 2021-02-25T03:35:13Z
• Authors: Behzad Ghanbari; Sachin Kumar; Monika Niwas; Dumitru Baleanu
• Keywords: Ode; Elliptic function

In this article, we aim to employ two analytical methods including, the Lie symmetry method and Jacobi elliptical solutions finder acquire exact solitary wave in various forms of (1+1)-dimensional Kawahara–KdV type equation modified equation. These models are famous that arise modeling many complex physical phenomena. At outset, have generated geometric vector fields infinitesimal generators equations. The equations reduced into ordinary differential (ODEs) using reductions. Furthermore, numerous obtained utilizing with help symbolic computation Maple. results new formulation, more useful explain reveal these mathematical approaches straightforward, effective, powerful can be adopted for solving other nonlinear evolution