Investigation of W and M shaped solitons in an optical fiber for eighth order nonlinear Schrödinger (NLS) equation

被引:3
作者
Uthayakumar, G. S. [1 ]
Rajalakshmi, G. [2 ]
Seadawy, Aly R. [3 ]
Muniyappan, A. [4 ]
机构
[1] St Josephs Inst Technol, Dept ECE, Chennai 600119, Tamil Nadu, India
[2] Sathyabama Inst Sci & Technol, Dept ECE, Chennai 600119, Tamil Nadu, India
[3] Taibah Univ, Fac Sci, Math Dept, Al Madinah Al Munawarah 41411, Saudi Arabia
[4] Chennai Inst Technol, Ctr Computat Modeling, Chennai 600069, Tamil Nadu, India
关键词
Cosine method; Femtosecond pulses; Extended rational sinh-cosh method; Analytical methods; SOLITARY WAVE SOLUTIONS; DISPERSIVE DIELECTRIC FIBERS; SCHRODINGER-EQUATION; KERR; PULSES; BRIGHT; AMPLIFICATION; TRANSMISSION;
D O I
10.1007/s11082-024-06730-y
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In an optical fiber, we report on our study of pulse compression using an analytical method. A significant role for the eighth order nonlinear Schr & ouml;dinger (NLS) equation may be seen in the study of ultra-short pulses, in particular extremely nonlinear optical phenomena. As a result of our study, which plays a significant role in reviving potent mathematical procedures, such as the extended rational sinh-cosh method for obtaining the dark soliton solution and the cosine method for solving the NLS equation to attain M-shaped, W-shaped soliton structure, dark and bright solitonic structure. Solitons are shown to have a strictly chirp-free structure, which facilitates effective compression. According to the results, wavevector may effectively regulate the shape and propagation behavior of soliton.
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页数:19
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