李文斌;王冬岭;

• 1:西北大学数学学院

摘要(Abstract)：

调制不稳定性在数学和物理等学科中应用十分广泛.本文主要通过分裂谱方法对空间分数阶薛定谔方程进行数值计算,并根据Benjamin-FeirLighthill准则推导了非线性薛定谔方程的调制不稳定条件.文中分别研究了空间分数阶薛定谔方程在不同初值条件下的不稳定行为,并与整数阶薛定谔方程的不稳定性行为作比较,通过数值比较分析,发现整数阶薛定谔方程的这种不稳定行为对于空间分数阶薛定谔方程同样存在.

关键词(KeyWords)： 调制不稳定性;空间分数阶薛定谔方程;分裂方法;傅里叶谱方法

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11871057;11501447);; 陕西省自然科学基金(2018KJXX-070)

作者(Authors): 李文斌;王冬岭;

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