周国全,雒润嘉,齐蓥

• 1:武汉大学物理科学与技术学院

摘要(Abstract)：

Hirota双线性导数变换处理非线性偏微分方程，是一种比反散射变换更为方便的直接方法。本文展示了Hirota双线性导数变换法应用于求解非线性可积方程的一般手续，以非零驻波边界条件下修正的非线性薛定谔(MNLS)方程为例，探求其孤子解；再通过简单的参数归零法直接得到导数非线性薛定谔(DNLS)方程在非零常数边界条件下的相应孤子解，亮/暗孤子解随时间和空间变量的演化也通过图像加以演示，所得孤子解与反散射方法得到的结果一致相符。

关键词(KeyWords)： 孤子;非线性方程;修正的非线性薛定谔方程;导数非线性薛定谔方程;Hirota方法;Hirota双

Abstract:

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基金项目(Foundation):

作者(Author): 周国全,雒润嘉,齐蓥

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