基于首次积分法求解非线性薛定谔方程的精确解  

Some New Exact Solutions for the Higher Order Nonlinear Schrodinger Equations Using the First Integral Method

作　　者：张贝贝 熊梅[1] 陈龙伟[1] 

机构地区：[1]云南财经大学统计与数学学院,云南昆明

出　　处：《应用数学进展》2018年第10期1256-1262,共7页Advances in Applied Mathematics

摘　　要：本文利用首次积分法研究了高阶非线性薛定谔方程的一些解。通过这种方法,我们获得了一些精确的行波解。此外,结果表明,首次积分法对于求解工程和数学中的非线性偏微分方程问题具有重要意义。In this work, some solutions of the high order nonlinear Schrodinger equation are researched by using the first integral method. By this method, we obtain some exact travelling wave solutions. In addition, it is showed that this method is influential for solving nonlinear partial differential equations (PDEs) in engineering and mathematic.

关 键 词：首次积分法 高阶非线性薛定谔方程 精确行波解 孤子波解 

分 类 号：O1[理学—数学]