Solitary wave solutions for a higher order nonlinear Schr枚dinger equation

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• 作者：Houria Triki^a ; Thiab R. Taha^b ; ^{thiab@cs.uga.edu}
• 关键词：Nonlinear Schr&ouml ; dinger equation ; Solitary wave solution ; Complex amplitude ansatz method
• 刊名：Mathematics and Computers in Simulation
• 出版年：2012
• 期刊代码：88_03784754
• 类别：cp
• 出版时间：March, 2012
• 卷：82
• 期：7
• 页码：1333-1340
• 文件大小：348 K

摘要

We consider a higher order nonlinear Schr枚dinger equation with third- and fourth-order dispersions, cubic-quintic nonlinearities, self steepening, and self-frequency shift effects. This model governs the propagation of femtosecond light pulses in optical fibers. In this paper, we investigate general analytic solitary wave solutions and derive explicit bright and dark solitons for the considered model. The derived analytical dark and bright wave solutions are expressed in terms of the model coefficients. These exact solutions are useful to understand the mechanism of the complicated nonlinear physical phenomena which are related to wave propagation in a higher-order nonlinear and dispersive Schr枚dinger system.