Investigation of solitons and conservation laws in an inhomogeneous optical fiber through a generalized derivative nonlinear Schrödinger equation with quintic nonlinearity

被引:0
作者
Wafaa B. Rabie
Hamdy M. Ahmed
Mohammad Mirzazadeh
Arzu Akbulut
Mir Sajjad Hashemi
机构
[1] Higher Institute of Engineering and Technology,Department of Physics and Engineering Mathematics
[2] Higher Institute of Engineering El Shorouk Academy,Department of Physics and Engineering Mathematics
[3] University of Guilan,Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan
[4] Bursa Uludağ University,Department of Mathematics, Faculty of Arts and Science
[5] Biruni University,Department of Computer Engineering
来源
Optical and Quantum Electronics | 2023年 / 55卷
关键词
Generalized derivative nonlinear Schrödinger equation; Solitons; Optical fibers; Extended F-expansion method; Conservation laws;
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摘要
The current research investigates the behavior of femtosecond solitary waves in an inhomogeneous optical fiber using the generalized derivative nonlinear Schrödinger equation with quintic nonlinearity. The extended F-expansion technique is utilized to obtain various exact solutions such as bright soliton solutions, dark soliton solutions, combo bright–dark soliton solutions, singular soliton solutions, periodic solutions, Jacobi elliptic functions solutions, rational solutions, Weierstrass elliptic solutions, exponential solutions. The obtained solutions are presented in three-dimensional and contour graphics by selecting appropriate parameters. Ibragimov’s conservation technique is also applied to obtain conservation laws for the given model. These findings are crucial for comprehending various of scientific and physical applications.
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