带自陡峭项修正的非线性Schrdinger方程的数值模拟  

Numerical simulation of the modified self-steepening nonlinear Schrdinger equation

作　　者：曹俊杰[1] 邱镜亮[1] 

机构地区：[1]北京信息科技大学理学院,北京100192

出　　处：《北京信息科技大学学报（自然科学版）》2016年第4期88-90,94,共4页Journal of Beijing Information Science and Technology University

摘　　要：运用Taylor展开方法对带自陡峭项修正的非线性Schrdinger方程的初边值问题进行数值模拟,给出了Crank-Nicolson数值格式。该格式很好地模拟了带自陡峭项修正的非线性Schrdinger方程的怪波解,并验证了该格式具有保持时空二阶精度的性质及其精确性。In the paper,we make the numerical research on the initial-boundary value problem of the modified self-steepening nonlinear Schrdinger equation by the Taylor expansion method,giving the Crank-Nicolson scheme for this equation. The Crank-Nicolson scheme simulates the rogue wave solution of this equation well,and the numerical experiment verifies that the Crank-Nicolson scheme is accurate and has the property of keeping second order accuracy in time and space.

关 键 词：自陡峭项 修正的非线性Schrdinger方程 怪波解 Crank-Nicolson数值格式 

分 类 号：O175.29[理学—数学]