Bifurcation and exact traveling wave solutions for Kodomtsev-Petviashvili equation


Anwar Ja’afar Mohamad Jawad, Alaaeddin Amin Moussa, Lama Abdulaziz Alhakim


Al-Rafidain University College, Baghdad, Iraq

Department of Management Information System and Production Management, College of Business and Economics, Qassim University, P.O. BOX 6666, Buraidah: 51452, Saudi Arabia

Corresponding Author Email: anwar_ jawad2001@yahoo.com

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

In this article, by using the bifurcations theory we discuss the behavior of dynamical system of Kodomtsev-Petviashvili (KP) equation, and seek all possible cases of traveling wave solutions for it in different parametric conditions. On the other hand, for an integrated view, we used the auxiliary equation method to obtain the exact traveling wave solutions of (KP) equation, such as solitary wave, a periodic traveling wave, a periodic cusp wave solution. these solutions it has been shown completely matches with the results we got by using the bifurcations theory.