论文标题
衍生NLS方程中周期性立波的调节不稳定性
Modulational instability of periodic standing waves in the derivative NLS equation
论文作者
论文摘要
我们考虑在等离子体物理学中产生的衍生非线性schrodinger（DNLS）方程中的周期性站立波。通过使用带有两个特征值的新开发的代数方法，我们根据位于真实线以外光谱带的末端的Kaup-Newell Spectral问题的八个特征值对所有周期性立场进行了分类。分析工作与光谱谱带的数值近似相辅相成，这使我们能够完全表征DNLS方程中周期性站立波的调节不稳定性。
We consider the periodic standing waves in the derivative nonlinear Schrodinger (DNLS) equation arising in plasma physics. By using a newly developed algebraic method with two eigenvalues, we classify all periodic standing waves in terms of eight eigenvalues of the Kaup-Newell spectral problem located at the end points of the spectral bands outside the real line. The analytical work is complemented with the numerical approximation of the spectral bands, this enables us to fully characterize the modulational instability of the periodic standing waves in the DNLS equation.
