National Nature Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [60890202]; Specialized Research Fund for the Doctoral Program of Higher Education of ChinaSpecialized Research Fund for the Doctoral Program of Higher Education (SRFDP) [20110161110012]; Department of Science and Technology of Hunan Province [2011FJ3121, 2012FJ3025]; Fundamental Research Funds for the Central UniversitiesFundamental Research Funds for the Central Universities; Hunan University and SRF for ROCS, SEM
机构署名:
本校为第一且通讯机构
院系归属:
信息与电子工程学院
摘要:
A method of investigation of modulation instability based on the exact solution of nonlinear Schro¨dingerequation with an elliptic potential is proposed. Based on the exact periodic wave solution and solitonsolution, the perturbation coupled equations are obtained and solved by a numerical method. We analyzethe perturbation gain spectrum in detail and find that the perturbation is affected by parameters ofan optical lattice potential. The modulation depth V affects the amplitude of gain spectrum, while themodulation periodic k affects both the amplitude and the fastest growth frequency of ...