Affiliation:
1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, P. R. China
Abstract
A new generalized [Formula: see text]-dimensional Kadomtsev–Petviashvili (KP) equation is investigated via bifurcation theory. Firstly, the phase portraits of the equation are drawn, and the corresponding qualitative conclusions are summarized. Then, based on the orbits of phase portraits, some exact solutions, including periodic, singular and soliton solutions, are derived. In addition, we enumerate twenty-seven solutions utilizing the generalized Riccati equation mapping method. Furthermore, the physical structures of some solutions are graphically constructed with setting suitable values of parameters.
Funder
Natural Science Foundation of Shandong Province
Natural Science Foundation of Liaocheng University
Discipline with Strong Characteristics of Liaocheng University-Intelligent Science and Technology
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)