基于首次积分法研究GDNLSE方程的精确解
The First Integral Method for Solving Exact Solution of GDNLSE
DOI: 10.12677/AAM.2018.74036, PDF,   
作者: 杨 娜, 陈龙伟*：云南财经大学统计与数学学院，云南 昆明
关键词: 首次积分法；常微分方程；行波解；The First Integral Method； Ordinary Differential Equation； Traveling Wave Solutions
摘要: 本文主要采用首次积分法对广义带导数的非线性Schrodinger方程进行研究，通过引入行波变换化简方程，将原广义带导数的非线性Schrodinger方程转化为常微分方程，再根据多项式的整除定理，得到广义带导数的非线性Schrodinger方程的精确行波解。
Abstract: The first integral method is mainly adopted in this paper to study the nonlinear generalized Schrodinger equation with derivative. By introducing the traveling wave transformation, the original nonlinear generalized Schrodinger equation with derivative has been changed into an ordinary differential equation. Then according to the division theorem of polynomial, exact traveling wave solutions of the nonlinear generalized Schrodinger equation with derivative are obtained.
文章引用：杨娜, 陈龙伟. 基于首次积分法研究GDNLSE方程的精确解[J]. 应用数学进展, 2018, 7(4): 303-309. https://doi.org/10.12677/AAM.2018.74036

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