Physics

Burgers' equation

Nonlinear system

Mathematics

Mathematical physics

Quadratic equation

Mathematical analysis

Kadomtsev–Petviashvili equation

Geometry

Quantum mechanics

Hyperbolic function

Periodic wave

Classical mechanics

Soliton

Results in Physics

The Kadomtsev-Petviashvili (KP) and modified KP equations are two of the most universal models in nonlinear wave theory, which arises as a reduction of system with quadratic nonlinearity which admit weakly dispersive waves. The generalized extended tanh method and the F-expansion method are used to derive exact solitary waves solutions of KP and modified KP equations. The region of solutions are displayed graphically.

Dispersive solitary wave solutions of Kadomtsev-Petviashvili and modified Kadomtsev-Petviashvili dynamical equations in unmagnetized dust plasma