Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation
作者： Hui-Qin Hao , Rui Guo , Jian-Wen Zhang
DOI: 10.1007/S11071-017-3333-4
关键词:
摘要: In this paper, an inhomogeneous discrete nonlinear Schrödinger equation is analytically investigated. The modulation instability condition and conservation laws are derived. By virtue …
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sci-hub.se 参考文章(38)
Mohammad Mirzazadeh, Mostafa Eslami, Essaid Zerrad, Mohammad F. Mahmood, Anjan Biswas, Milivoj Belic, Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli’s equation approach Nonlinear Dynamics. ,vol. 81, pp. 1933- 1949 ,(2015) , 10.1007/S11071-015-2117-Y
Panayotis G Kevrekidis, The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives ,(2009)
Panayotis G. Kevrekidis, The Discrete Nonlinear Schrödinger Equation International Journal of Modern Physics B. ,vol. 232, pp. 2833- 2900 ,(2009) , 10.1007/978-3-540-89199-4
Govind P. Agrawal, Nonlinear Fiber Optics ,(1989)
AM Kamchatnov, Nonlinear periodic waves and their modulations World Scientific. ,(2000)
Morikazu Toda, Theory of nonlinear lattices ,(1981)
Jian-Min Tu, Shou-Fu Tian, Mei-Juan Xu, Xiao-Qiu Song, Tian-Tian Zhang, Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles Nonlinear Dynamics. ,vol. 83, pp. 1199- 1215 ,(2016) , 10.1007/S11071-015-2397-2
M. Mirzazadeh, Mostafa Eslami, Michelle Savescu, A. H. Bhrawy, A. A. Alshaery, E. M. Hilal, Anjan Biswas, Optical solitons in DWDM system with spatio-temporal dispersion Journal of Nonlinear Optical Physics & Materials. ,vol. 24, pp. 1550006- ,(2015) , 10.1142/S021886351550006X
Wen-Jun Liu, Nan Pan, Long-Gang Huang, Ming Lei, Soliton interactions for coupled nonlinear Schrödinger equations with symbolic computation Nonlinear Dynamics. ,vol. 78, pp. 755- 770 ,(2014) , 10.1007/S11071-014-1474-2
Qin Zhou, Qiuping Zhu, Hua Yu, Yaxian Liu, Chun Wei, Ping Yao, Ali H Bhrawy, Anjan Biswas, Bright, dark and singular optical solitons in a cascaded system Laser Physics. ,vol. 25, pp. 025402- ,(2015) , 10.1088/1054-660X/25/2/025402