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

• 作者: Chunhuan Xiang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: JACOBI ELLIPTIC FUNCTION Traveling Wave Solution Kadomtsev-Petviashvili Equation JACOBI ELLIPTIC FUNCTION Expansion Method Numerical Simulation
• 年，卷（期）: 2011,（11）
• 页码范围: 1313-1316
• 页数: 4页
• 分类号: O1

摘要

(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.