论文标题
非线性Schrodinger方程中双周期波的不稳定性
Instability of double-periodic waves in the nonlinear Schrodinger equation
论文作者
论文摘要
它显示了如何通过使用LAX线性方程来计算双周期溶液（非线性Schrodinger）方程的双周期溶液的不稳定性速率。双周期溶液的波函数模量在时空坐标中是周期性的。这种解决方案概括了具有时间独立和空间周期性波函数模量的常规波。与NLS方程中的其他波类似，双周期溶液在光谱上是不稳定的，并且这种不稳定性与假想轴外的LAX光谱频段有关。一种简单的数值方法用于计算不稳定的光谱，并将双周期溶液的不稳定性与常规周期波的不稳定性速率进行比较。
It is shown how to compute the instability rates for the double-periodic solutions to the cubic NLS (nonlinear Schrodinger) equation by using the Lax linear equations. The wave function modulus of the double-periodic solutions is periodic both in space and time coordinates; such solutions generalize the standing waves which have the time-independent and space-periodic wave function modulus. Similar to other waves in the NLS equation, the double-periodic solutions are spectrally unstable and this instability is related to the bands of the Lax spectrum outside the imaginary axis. A simple numerical method is used to compute the unstable spectrum and to compare the instability rates of the double-periodic solutions with those of the standing periodic waves.
