用Jacobi椭圆函数展开法求解非线性波动方程(组)  

Applications of Expansion Method about the Jacobi Elliptic Function to Several Nonlinear Wave Equation(s)

作　　者：马正义[1] 

机构地区：[1]丽水师范专科学校数学系,浙江丽水323000

出　　处：《丽水师范专科学校学报》2003年第5期1-3,共3页Journal of Lishui Teachers College

摘　　要：用Jacobi椭圆函数展开法获得了Klein-Gordon方程和Hirota-Satsuma方程组的准确周期解,而所得到的周期解包含了冲击波解和孤波解。A Jacobi elliptic function expansion method is proposed to construct the exact periodic solutions of several nonlinear wave equation(s)-klein-Gordon equation and Hirota-Satsuma Equations. And the periodic solutions obtained by this method include the shock wave solutions and the solitary wave solutions.\;

关 键 词：JACOBI椭圆函数 展开法 求解方法 非线性波动方程组 非线性方程 周期解 孤波解 

分 类 号：O175.29[理学—数学]