Analytical soliton solutions for cubic-quartic perturbations of the Lakshmanan-Porsezian-Daniel equation using the modified extended tanh function method

被引：40
作者：
Hussein, Hisham H. [1 ]
Ahmed, Hamdy M. [2 ]
Alexan, Wassim [3 ,4 ]
机构：
[1] Univ Canada Egypt, Fac Math & Computat Sci, Cairo, Egypt
[2] El Shorouk Acad, Higher Inst Engn, Dept Phys & Engn Math, Cairo, Egypt
[3] German Univ Cairo, Fac Informat Engn & Technol, Cairo, Egypt
[4] German Int Univ, Dept Math, Cairo, Egypt
来源：
AIN SHAMS ENGINEERING JOURNAL | 2024年 / 15卷 / 03期
关键词：
Nonlinear Schrodinger equation; Improved modified extendedtanh-function; method; Auxiliary equation; Optical solitons; Analytical solutions; Travelling waves structures; NONLINEAR SCHRODINGER-EQUATION; GERDJIKOV-IVANOV EQUATION; TRAVELING-WAVE SOLUTIONS; OPTICAL SOLITONS; BREATHERS; COUPLE;
D O I：
10.1016/j.asej.2023.102513
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the improved modified extended Tanh function technique is used to find analytical solutions to the cubic-quartic Lakshmanan-Porsezian-Daniel model which describes the pulse propagation in optical fiber. Using the traveling wave theory, the nonlinear partial differential form of the cubic-quartic Lakshmanan-PorsezianDaniel equation is transformed into an ordinary differential equation. Then applying the proposed methods bright, dark, bright-dark, periodic, singular, and Jacobian elliptic solutions were derived as analytical solutions. Besides, hyperbolic, rational, trigonometric, and exponential functions were also obtained. In order to understand the obtained solutions, graphical simulations were depicted by 3D surfaces and 2D graphs.
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页数：7
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