求解Kdv方程的一种显式模平方守恒格式  

An Explicit Modulus Square Conserving Scheme for Kdv Equation

作　　者：胡勋锋[1] 孙建强[1] 李昊辰[1] 

机构地区：[1]海南大学信息科学技术学院,海南海口570228

出　　处：《海南大学学报（自然科学版）》2011年第2期120-127,共8页Natural Science Journal of Hainan University

基　　金：国家自然科学基金(10747130);海南省自然科学基金(110002);海南大学科研启动基金(kyqd1053);海南大学青年基金(qnjj1022)资助

摘　　要：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.

关 键 词：KDV方程 Magnus方法 模平方守恒 

分 类 号：O241.82[理学—计算数学]