Modulational instability based on the exact solution of nonlinear Schr?dinger equation with an elliptic potential

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• 作者：Yangbao Deng ; Shihu Zhang ; Xiquan Fu ; Shuguang Deng ; Cuixiu Xiong ; Guangfu Zhang
• 关键词：Modulation instability ; Exact solution ; Numerical method ; Gain spectrum
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2013
• 出版时间：December, 2013
• 年：2013
• 卷：124
• 期：23
• 页码：6411-6414
• 全文大小：999 K

文摘

A method of investigation of modulation instability based on the exact solution of nonlinear Schr?dinger equation with an elliptic potential is proposed. Based on the exact periodic wave solution and soliton solution, the perturbation coupled equations are obtained and solved by a numerical method. We analyze the perturbation gain spectrum in detail and find that the perturbation is affected by parameters of an optical lattice potential. The modulation depth V affects the amplitude of gain spectrum, while the modulation periodic k affects both the amplitude and the fastest growth frequency of gain spectrum.