四耦合薛定谔方程组的高阶平均向量场方法

Higher Order Average Vector Field Method of Four Coupled Nonlinear Schrodinger Equations

提出了一个新的高阶数值格式求解四耦合非线性薛定谔方程组,新格式能精确保持方程组的能量守恒,计算结果进一步验证了新格式能保持方程能量守恒和精确地模拟方程组解的行为.

In the report, the new high order numerical scheme for solving the four-coupled Schr?dinger equations was proposed. The new scheme can preserve the energy conservation property of the equations. The numerical results showed that the new scheme can simulate the solitary wave behaviors of the equations and preserve the energy conservation property very well.