Abstract:
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 conservation special direction, and which is transformed into the modulus square conserving ordinary differential equation. 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.