Article
The new extended rational SGEEM for construction of optical solitons to the (2+1)–dimensional Kundu–Mukherjee–Naskar model
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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
T. A. Sulaiman and H. Bulut, “The new extended rational SGEEM for construction of optical solitons to the (2+1)–dimensional kundu–mukherjee–naskar model,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, pp. 513–522, 2019, doi: 10.2478/AMNS.2019.2.00048.
Sulaiman TA, Bulut H. The new extended rational SGEEM for construction of optical solitons to the (2+1)–dimensional kundu–mukherjee–naskar model. Applied Mathematics and Nonlinear Sciences. 2019;4(2):513–522. doi:10.2478/AMNS.2019.2.00048.
Sulaiman, T. A. and 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), pp. 513–522. Available at: https://doi.org/10.2478/AMNS.2019.2.00048.
Sulaiman, Tukur Abdulkadir, and Hasan Bulut. “The New Extended Rational SGEEM for Construction of Optical Solitons to the (2+1)–dimensional Kundu–mukherjee–naskar Model.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 2, 2019, pp. 513–522. https://doi.org/10.2478/AMNS.2019.2.00048.
Sulaiman, Tukur Abdulkadir, and Hasan Bulut. “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, no. 2 (2019): 513–522. https://doi.org/10.2478/AMNS.2019.2.00048.
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Published by: Engineering Journals


