Novel solitary wave and periodic solutions for the nonlinear Kaup–Newell equation in optical fibers

The primary objective of this study is to examine the behavior of the nonlinear Kaup-Newell equation. By employing the modified Kudryashov method and extended tanh function method, we have successfully derived novel solitary wave and periodic solutions. These new solutions are presented in trigonome...

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Bibliographic Details
Published inOptical and quantum electronics Vol. 56; no. 4
Main Author Wang, Kang-Le
Format Journal Article
LanguageEnglish
Published New York Springer US 30.01.2024
Subjects
Characterization and Evaluation of Materials
Computer Communication Networks
Electrical Engineering
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Nonlinear Kaup–Newell equation
Modified Kudryashov method
Extended tanh function method
Periodic solution
Solitary wave solution
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Summary:The primary objective of this study is to examine the behavior of the nonlinear Kaup-Newell equation. By employing the modified Kudryashov method and extended tanh function method, we have successfully derived novel solitary wave and periodic solutions. These new solutions are presented in trigonometric, hyperbolic and exponential function types. The proposed two approaches are efficient, direct and fascinating. These newly discovered solutions are illustrated using two-dimensional and three-dimensional graphs, incorporating suitable parameters values. These graphs are crucial for elucidating the dynamic properties of optical fibers.
ISSN:1572-817X
1572-817X
DOI:10.1007/s11082-023-06122-8