Bifurcation and travelling wave solutions for a (2+1)-dimensional <i>KdV</i> equation
A. A. Elmandouha, Ahmed Gamal Ibrahim
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.
Topics & Concepts
Korteweg–de Vries equationBifurcationTraveling waveMathematicsMathematical analysisMathematical physicsApplied mathematicsPhysicsNonlinear systemQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems