摘要
提出一种求解非线性微分方程椭圆函数解的方法,并通过此方法,求出了mKdV(modified Korteweg-de Vries)方程的多个椭圆函数解,涵盖了一些已知解,也包括新的无理式解及一些新的椭圆函数解,这些解在某些情况下可退化为孤子解和三角函数解。此方法还可用于求解其它非线性微分方程。
A method for solving nonlinear differential equations elliptic function solutions was presented, and through this method, lots of elliptic function solutions to the mKdV（ modified Korteweg-de Vries） equation were found, which not only covered some of the known solutions but also included new irrational formal solutions and some new elliptic function solutions. In some cases these solutions can be degraded into soliton and trigonometric function solutions. Furthermore, the method can also be used to solve other nonlinear differential equations.
出处
《阜阳师范学院学报（自然科学版）》
2013年第2期26-29,共4页
Journal of Fuyang Normal University(Natural Science)
关键词
非线性微分方程
MKDV方程
椭圆函数解
无理式解
nonlinear differential equation
mKd
equation
elliptic function solution
irrational formal solution
