Numerical and Computational Methods in Sciences and Engineering
Journal license

Journal

Numerical and Computational Methods in Sciences and Engineering


Volume
& Issue

Volume 1, Issue 2


Published
on

July 1, 2019


Pages

101-110


DOI

Article

On Breather and Cuspon waves solutions for the generalized higher-order nonlinear Schrödinger equation with light-wave promulgation in an optical fiber

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Authors

Lijuan Qian Affiliation:
Department of Mathematics, Faculty of Science, Jiangsu University, 212013, China
, Raghda A. M. Attia Affiliation:
Department of Mathematics, Faculty of Science, Jiangsu University, 212013, China; Department of Basic Science, Higher technological institute 10th of Ramadan city, El Sharqia, 44634, Egypt
, Yuyang Qiu Affiliation:
Department of Mathematics, Faculty of Science, Jiangsu University, 212013, China; Department of Mathematics, Faculty of Science, Northeastern University, Boston, USA
, Dianchen Lu Affiliation:
Department of Mathematics, Faculty of Science, Jiangsu University, 212013, China
and Mostafa M. A. Khater* Affiliation:
Department of Mathematics, Faculty of Science, Jiangsu University, 212013, China


Abstract

This research paper investigates the unprecedented optical closed form of solutions for the generalized higher-order nonlinear Schrödinger (NLS) equation, which is considered as a fundamental model in the optical fiber by the implementation of the modified Khater method. The suggested equation describes the promulgation of the light-wave in an optical fiber. Some novel solutions are obtained by using the suggested method, which is considered as one of the recent methods developed in the last decades. The performance of the used method shows the power and effective of the method and its ability for applying to many different forms of nonlinear evolution equations. The obtained solutions verified with Maple 16 & Mathematica 12 by placing them back into the original equations.


Keywords

Light-wave promulgation in an optical fiber, Generalized higher-order nonlinear Schrödinger equation, Generalized Kudryashov method, Exact traveling wave solution


Citation

Qian, L., Attia, R. A. M., Qiu, Y., Lu, D., & Khater, M. M. A. (2019). On breather and cuspon waves solutions for the generalized higher-order nonlinear schrödinger equation with light-wave promulgation in an optical fiber. Numerical and Computational Methods in Sciences and Engineering, 1(2), 101–110. https://doi.org/10.18576/ncmse/010205

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