利用Magnus方法求解Kdv方程.Kdv方程具有模平方守恒特性,首先用适当差分格式对其进行模平方守恒空间离散,转化成模平方守恒的常微分方程,再用Magnus方法求解.数值结果表明,Magnus方法能保Kdv方程模平方守恒特性.
In our report, the magnus method was used to solve Kdv equation, which has the modulus square conserving property. The proper difference scheme was used to discretizate it along the modulus square conserva- tion special direction, and which is transformed into the modulus square conserving ordinary differential equa- tion. The magnus method was used to solve the ordinary differential equations. The numerical results indicated that the Magnus method preserve the modulus square conserving property of the Kdv equation.