Optical solitons in (n + 1) dimensions with Kerr and power law nonlinearities

作者: Muhammad Younis

DOI: 10.1142/S021798491750186X

关键词:

摘要: The paper studies the dynamics of optical solitons in (n + 1)-dimensional nonlinear Schrodinger equation with Kerr and power law nonlinearities that describe propagation light pulses fibers. First time dark singular are extracted 1) dimensions. (G′/G)-expansion scheme is used to analyze these solutions. Additionally, constraint conditions for existence solutions also listed. However, fails retrieve bright soliton.

参考文章(29)
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
Wen-Xiu Ma, Yuncheng You, Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions Transactions of the American Mathematical Society. ,vol. 357, pp. 1753- 1778 ,(2004) , 10.1090/S0002-9947-04-03726-2
Qin Zhou, Duanzheng Yao, Fang Chen, Weiwei Li, Optical solitons in gas-filled, hollow-core photonic crystal fibers with inter-modal dispersion and self-steepening Journal of Modern Optics. ,vol. 60, pp. 854- 859 ,(2013) , 10.1080/09500340.2013.816384
Wen-Xiu Ma, Min Chen, Direct search for exact solutions to the nonlinear Schrödinger equation Applied Mathematics and Computation. ,vol. 215, pp. 2835- 2842 ,(2009) , 10.1016/J.AMC.2009.09.024
Wen-Xiu Ma, Chun-Xia Li, Jingsong He, A second Wronskian formulation of the Boussinesq equation Nonlinear Analysis: Theory, Methods & Applications. ,vol. 70, pp. 4245- 4258 ,(2009) , 10.1016/J.NA.2008.09.010
Mohammad Mirzazadeh, A. H. Arnous, M. F. Mahmood, Essaid Zerrad, Anjan Biswas, Soliton solutions to resonant nonlinear Schrödinger’s equation with time-dependent coefficients by trial solution approach Nonlinear Dynamics. ,vol. 81, pp. 277- 282 ,(2015) , 10.1007/S11071-015-1989-1
Muhammad Younis, Syed Tahir Raza Rizvi, None, Dispersive dark optical soliton in (2+1)-dimensions by G′/G-expansion with dual-power law nonlinearity Optik. ,vol. 126, pp. 5812- 5814 ,(2015) , 10.1016/J.IJLEO.2015.08.233