MSPRK Methods for the Korteweg-de Vries Equation

• 作 者: 张凯 刘宏宇 张然
• 机 构: InstituteofMathematics,DepartmentofMathematics
• 出 处: 东北数学：英文版
• 发表日期: 2005年4期
• 关键词: 多偶对性 KDV方程 非线性双曲线方程 光滑解 multi-symplectic KdV equation partitioned Runge-Kutta
• 基金项目: The NNSF （10471054） of China, the China Postdoctoral Science Foundation and the Youth Foundation of Institute of Mathematics, Jilin University.

<正>We consider the Korteweg-de Vries (KdV) equation in the form ut+uux+uxxx=0(1) which is a nonlinear hyperbolic equation and has smooth solutions for all the time. There are a vast of results can be found in the literature for this equation, both t