【摘要】 利用Riccati方程的形式解,采用齐次平衡法的思想求二维Klein-Gordon-Zakharov方程的显示精确解.借助Maple的符号计算功能,得到了二维Klein-Gordon-Zakharov方程的孤波解、周期解和有理解,并给出了其孤波解的数值模拟图形.更多还原

【Abstract】 By using the solutions of the Riccati equation and the homogenous balance method,the exact solutions of the 2-dimensional Klein-Gordon-Zakharov equation is obtained. With the symbolic computation function of the Maple,the solitary wave solution,periodic solution and rational solution are obtained. The numerical simulation figures of the solitary wave solutions are given.更多还原