Numerical Solution of Dispersive Optical Solitons with Schroedinger-Hirota Equation by Improved Adomian Decomposition Method

Bakodah H. O.; Banaja M. A.; Alshaery A. A.; Al Qarni A. A.

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Numerical Solution of Dispersive Optical Solitons with Schroedinger-Hirota Equation by Improved Adomian Decomposition Method

机译：改进的Adomian分解方法与Schroedinger-hirota方程分散光孤子的数值解

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In this paper, we present new numerical results for the dispersive optical soliton solutions of the nonlinear Schrodinger-Hirota equation. The spatio-temporal dispersion term is included, in addition to group velocity dispersion Kerr law of nonlinearity are studied. A general recursive numerical scheme for the equation is devised via the Improved Adomian Decomposition Method (IADM) and further sought for some analytical results for validation. The scheme is shown to be efficient and possessed high level of accuracy as demonstrated.

机译：在本文中，我们为非线性施罗德格 - Hirota方程的色散光学孤子解决方案提出了新的数值结果。包括几种时间分散术语，除了对非线性的群体速度分散克尔法律进行研究。通过改进的Adomian分解方法（IADM）设计了用于等式的一般递归数值方案，并进一步寻求一些分析结果进行验证。如所示，该方案被证明是有效的，具有高精度。

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《Mathematical Problems in Engineering》 |2019年第12期|2960912.1-2960912.6|共6页
作者
Bakodah H. O.; Banaja M. A.; Alshaery A. A.; Al Qarni A. A.;
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Univ Jeddah Dept Math Fac Sci Jeddah Saudi Arabia;

Univ Jeddah Dept Math Fac Sci Jeddah Saudi Arabia;

Univ Jeddah Dept Math Fac Sci Jeddah Saudi Arabia;

Univ Bisha Dept Math Fac Sci Blqarn Campus Bisha Saudi Arabia;

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1. Numerical Solution of Dispersive Optical Solitons with Schr?dinger-Hirota Equation by Improved Adomian Decomposition Method [J] . H. O. Bakodah, M. A. Banaja, A. A. Alshaery, Mathematical Problems in Engineering: Theory, Methods and Applications . 2019,第1期

机译：施联ADOMIAN分解方法的分散光孤子分散光学孤子分散光孤子的数值解
2. Bright optical solitons of Chen-Lee-Liu equation with improved Adomian decomposition method [J] . Mohammed A. S. H. F., Bakodah H. O., Banaja M. A., Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2019,第期

机译：陈李丽豪方程明亮的光学孤子改进的Adomian分解方法
3. Soliton Solutions and Numerical Treatment of the Nonlinear Schrodinger’s Equation Using Modified Adomian Decomposition Method [J] . Abeer Al-Shareef, Alyaa A. Al Qarni, Safa Al-Mohalbadi, Journal of Applied Mathematics and Physics . 2016,第12期

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5. Boundary value problems and soliton solutions of discrete evolution equations; Numerical methods for the sine-Gordon equation with impulsive forcing. [D] . Wang, Danhua. 2011

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Numerical Solution of Dispersive Optical Solitons with Schroedinger-Hirota Equation by Improved Adomian Decomposition Method

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