Bifurcation and travelling wave solutions for a (2+1)-dimensional KdV equation

Abstract

This work aims to study a new $({2 + 1} )\ KdV $ equation that is recently introduced in (Phys. Lett. A. 383: 728–731, 2019). By using the method of dynamical systems, we examine the bifurcation and construct exact travelling wave solutions for a (2+1) KdV equation. Exact parametric representations of all wave solutions are introduced and they are clarified graphically.

Keywords

• travel wave solution
• bifurcation
• phase portrait
• $({2+1} )kdv $ equation