A (2+1)-dimensional Kadomtsev–Petviashvili equation with competing dispersion effect: Painlevé analysis, dynamical behavior and invariant solutions

• DOI: 10.1016/j.rinp.2021.104043
• Publication Date: 2021-03-09T09:12:57Z
• Authors: Sandeep Malik; Hassan Almusawa; Sachin Kumar; Abdul-Majid Wazwaz; M.S. Osman
• Keywords: Phase portrait; Ode

In this paper, we concern ourselves with the nonlinear Kadomtsev–Petviashvili equation (KP) a competing dispersion effect. First examine integrability of governing via using Painlevé analysis. We next reduce KP to one-dimensional help Lie symmetry analysis (LSA). The reduces an ODE by employing formally derive bright, dark and singular soliton solutions model. Moreover, investigate stability corresponding dynamical system phase plane theory. Graphical representation obtained solitons portrait are illustrated Maple software.