Optical solitons and optical rogons of generalized resonant dispersive nonlinear Schrödinger's equation with power law nonlinearity
作者： M. Mirzazadeh , M. Eslami , B. Fathi Vajargah , Anjan Biswas
DOI: 10.1016/J.IJLEO.2014.04.014
关键词:
摘要: Abstract This paper obtains solitons and singular periodic solutions to the generalized resonant dispersive nonlinear Schrodinger’ equation with power law nonlinearity. There are several integration tools that adopted extract these solutions. They simplest method, functional variable sine–cosine function tanh method G′/G-expansion method. These techniques reveal bright as well corresponding evolution equation. important in fiber optics community study of rogue waves.
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sci-hub.se 参考文章(28)
A. Zerarka, S. Ouamane, A. Attaf, On the functional variable method for finding exact solutions to a class of wave equations Applied Mathematics and Computation. ,vol. 217, pp. 2897- 2904 ,(2010) , 10.1016/J.AMC.2010.08.070
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics Communications in Nonlinear Science and Numerical Simulation. ,vol. 15, pp. 2836- 2845 ,(2010) , 10.1016/J.CNSNS.2009.11.029
Nikolai A. Kudryashov, Simplest equation method to look for exact solutions of nonlinear differential equations Chaos Solitons & Fractals. ,vol. 24, pp. 1217- 1231 ,(2005) , 10.1016/J.CHAOS.2004.09.109
N. Taghizadeh, M. Mirzazadeh, The simplest equation method to study perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity Communications in Nonlinear Science and Numerical Simulation. ,vol. 17, pp. 1493- 1499 ,(2012) , 10.1016/J.CNSNS.2011.09.023
B. Fuchssteiner, W.X. Ma, Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation International Journal of Non-linear Mechanics. ,vol. 31, pp. 329- 338 ,(1996) , 10.1016/0020-7462(95)00064-X
Willy Malfliet, Willy Hereman, The tanh method: II. Perturbation technique for conservative systems Physica Scripta. ,vol. 54, pp. 569- 575 ,(1996) , 10.1088/0031-8949/54/6/004
N.A. Kudryashov, On types of nonlinear nonintegrable equations with exact solutions Physics Letters A. ,vol. 155, pp. 269- 275 ,(1991) , 10.1016/0375-9601(91)90481-M
Abdul-Majid Wazwaz, The tanh method for traveling wave solutions of nonlinear equations Applied Mathematics and Computation. ,vol. 154, pp. 713- 723 ,(2004) , 10.1016/S0096-3003(03)00745-8
E.M.E. Zayed, Khaled A. Gepreel, Some applications of the G'G-expansion method to non-linear partial differential equations Applied Mathematics and Computation. ,vol. 212, pp. 1- 13 ,(2009) , 10.1016/J.AMC.2009.02.009
E. Yusufoğlu, A. Bekir, Solitons and periodic solutions of coupled nonlinear evolution equations by using the sine–cosine method International Journal of Computer Mathematics. ,vol. 83, pp. 915- 924 ,(2006) , 10.1080/00207160601138756