Guan Jingxin, Ren Zhanmei, Guo Qi
Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou, 510631, P. R. China.
Sci Rep. 2020 Jun 22;10(1):10081. doi: 10.1038/s41598-020-66856-3.
In this paper,we discussed the nonlinear evolution of modulation instability and the steady-state process of induced modulation instability in sine-oscillatory response nonlocal nonlinear media. With plane wave plus perturbation as initial conditions, we simulated the long-term evolution of modulation instability in the nonlocal nonlinear Schrodinger equation with sine-oscillatory response numerically. For the input of modulated wave, the approximate analytical solution of the stable solution of the equation is obtained under the assumption that only the fundamental wave and the first harmonic wave are present. For the input of modulated wave with arbitrary harmonic waves, we obtained the exact numerical solution of the stable solution of the induced modulation instability.
在本文中，我们讨论了正弦振荡响应非局部非线性介质中调制不稳定性的非线性演化以及诱导调制不稳定性的稳态过程。以平面波加微扰作为初始条件，我们对具有正弦振荡响应的非局部非线性薛定谔方程中调制不稳定性的长期演化进行了数值模拟。对于调制波输入，在仅存在基波和一阶谐波的假设下，得到了方程稳定解的近似解析解。对于具有任意谐波的调制波输入，我们得到了诱导调制不稳定性稳定解的精确数值解。
