耦合Schr?dinger-KdV方程的高阶保能量方法

A High-Order Energy Preserving Method for the Coupled Schr?dinger-KdV Equation

耦合Schr?dinger-KdV方程具有能量守恒特性.基于四阶平均向量场方法和傅里叶拟谱方法构造了耦合Schr?dinger-KdV方程的高阶保能量格式,并用新格式数值模拟孤立波的行为.结果表明新的高阶格式能较好地模拟耦合Schr?dinger-KdV方程孤立波的演化行为,且精确地保持方程的离散能量守恒特性.

The coupled Schrodinger-KdV equation has the energy conservation property.A high-order energy preserving scheme of the coupled Schrodinger-KdV equation is obtained with the fourth-order average vector field method and the Fourier pseudo-spectrum method,and the behavior of the solitary wave is simulated with the new format.Numerical results show that the new scheme can well simulate the evolution of the behaviors of the coupled equation and exactly preserve the discrete energy conservation property of the equation.