摘要
利用非线性变换和辅助方程方法研究了非线性modified Kortweg de Vries模型,得到该模型的丰富的新型显式精确解,包括孤波解,周期波解,雅可比椭圆函数解和其他精确解。借助Miura变换获得非线性KdV方程丰富的新型显式精确解。
Both the nonlinear transformation and auxiliary equation approach are used to study the nonlinear modified Kortweg-de Vries equation. Abundant new exact explicit solutions, such as assolitary wave solutions, periodic wave solutions, Jacobi elliptic function solution and others exact solutions, are obtained by using two methods. According to these results, a new type exact solutions of the nonlinear Kortweg-de Vries（KdV） equation was derived by means ofthe Miura transform
出处
《青岛大学学报（自然科学版）》
CAS
2006年第2期39-43,共5页
Journal of Qingdao University(Natural Science Edition)
关键词
非线性变换
辅助方程法
显式精确解
the nonlinear transformation
auxiliary equation approach
new exact explicit solution
