TITLE:
Jacobi Elliptic Function Solutions for (2 + 1) Dimensional Boussinesq and Kadomtsev-Petviashvili Equation
AUTHORS:
Chunhuan Xiang
KEYWORDS:
Jacobi Elliptic Function, Traveling Wave Solution, Kadomtsev-Petviashvili Equation, Jacobi
Elliptic Function Expansion Method, Numerical Simulation
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.11,
November
30,
2011
ABSTRACT: (2 + 1) dimensional Boussinesq and Kadomtsev-Petviashvili equation are investigated by employing Jacobi elliptic function expansion method in this paper. As a result, some new forms traveling wave solutions of the equation are reported. Numerical simulation results are shown. These new solutions may be important for the explanation of some practical physical problems. The results of this paper show that Jacobi elliptic function method can be a useful tool in obtaining evolution solutions of nonlinear system.