학술논문
Traveling Wave Solutions and Bifurcations of a New Generalized (3+1)-Dimensional Kadomtsev–Petviashvili Equation.
Document Type
Article
Author
Source
Subject
*KADOMTSEV-Petviashvili equation
*RICCATI equation
*BIFURCATION theory
*ORBITS (Astronomy)
*EQUATIONS
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Language
ISSN
0218-1274
Abstract
A new generalized (3 + 1) -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. [ABSTRACT FROM AUTHOR]