A (2+1)-dimensional Kadomtsev�Petviashvili equation with competing dispersion effect: Painlev� analysis, dynamical behavior and invariant solutions
Date
2021-03-09Author
Malik, Sandeep
Almusawa, Hassan
Kumar, Sachin
Wazwaz, Abdul-Majid
Osman, M.S.
Metadata
Show full item recordAbstract
In this paper, we concern ourselves with the nonlinear Kadomtsev�Petviashvili equation (KP) with a competing dispersion effect. First we examine the integrability of governing equation via using the Painlev� analysis. We next reduce the KP equation to a one-dimensional with the help of Lie symmetry analysis (LSA). The KP equation reduces to an ODE by employing the Lie symmetry analysis. We formally derive bright, dark and singular soliton solutions of the model. Moreover, we investigate the stability of the corresponding dynamical system via using phase plane theory. Graphical representation of the obtained solitons and phase portrait are illustrated by using Maple software. � 2021 The Authors
Journal
Results in Physics
Access Type
Open Access