TITLE:
Variable Separation and Exact Solutions for the Kadomtsev-Petviashvili Equation
AUTHORS:
Lili Song, Yadong Shang
KEYWORDS:
Kadomtsev-Petviashvili Equation, Method of Variable Separation, Global Smooth Solution, Local Blow up Solution
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.3,
March
12,
2015
ABSTRACT: In the paper, we will discuss the Kadomtsev-Petviashvili Equation which
is used to model shallow-water waves with weakly non-linear restoring forces
and is also used to model waves in ferromagnetic media by employing the method
of variable separation. Abundant exact solutions including global smooth solutions
and local blow up solutions are obtained. These solutions would contribute to
studying the behavior and blow up properties of the solution of the Kadomtsev-Petviashvili
Equation.