Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 4, Issue 2


Published
on

December 24, 2019


Pages

513-522


DOI

Article

The new extended rational SGEEM for construction of optical solitons to the (2+1)–dimensional Kundu–Mukherjee–Naskar model

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Authors

Tukur Abdulkadir Sulaiman Affiliation:
Department of Mathematics Federal University Dutse, Jigawa, Nigeria
and Hasan Bulut Affiliation:
Department of Mathematics Firat University, Elazig, Turkey


Abstract

This work proposes the new extended rational sinh-Gordon equation expansion technique (SGEEM). The computational approach is formulated based on the well-known sinh-Gordon equation. The proposed technique generalizes the sine-Gordon/sinh-Gordon expansion methods in a rational format. The efficiency of the suggested technique is tested on the (2+1)imensional Kunduukherjeeaskar (KMN) model. Various of optical soliton solutions have been obtained using this new method. The conditions which guarantee the existence of valid solitons are given.


Keywords

New extended rational SGEEM, KMN model, optical solitons, 49K20


Citation

Sulaiman, T. A. & Bulut, H. (2019). The new extended rational SGEEM for construction of optical solitons to the (2+1)–dimensional kundu–mukherjee–naskar model. Applied Mathematics and Nonlinear Sciences, 4(2), 513–522. https://doi.org/10.2478/AMNS.2019.2.00048

Published by: Engineering Journals

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