Jacobi Elliptic Function Solutions for (2 + 1) Dimensional Boussinesq and Kadomtsev-Petviashvili Equation

Author(s)
Chunhuan Xiang

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.

(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.

Keywords

Jacobi Elliptic Function, Traveling Wave Solution, Kadomtsev-Petviashvili Equation, Jacobi Elliptic Function Expansion Method, Numerical Simulation

Jacobi Elliptic Function, Traveling Wave Solution, Kadomtsev-Petviashvili Equation, Jacobi Elliptic Function Expansion Method, Numerical Simulation

Cite this paper

nullC. Xiang, "Jacobi Elliptic Function Solutions for (2 + 1) Dimensional Boussinesq and Kadomtsev-Petviashvili Equation,"*Applied Mathematics*, Vol. 2 No. 11, 2011, pp. 1313-1316. doi: 10.4236/am.2011.211183.

nullC. Xiang, "Jacobi Elliptic Function Solutions for (2 + 1) Dimensional Boussinesq and Kadomtsev-Petviashvili Equation,"

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