<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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)<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_AMNS.2019.2.00048_fig_001.png"></inline-graphic>imensional Kundu<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_AMNS.2019.2.00048_fig_002.png"></inline-graphic>ukherjee<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_AMNS.2019.2.00048_fig_003.png"></inline-graphic>askar (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.</p>
</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.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 Public License.

This work proposes the new extended rational sinh-Gordon equation expansion technique (SGEEM). The computational approach is formulated based on the well-known...

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

Published Online: Dec 24, 2019

Page range: 513 - 522

Received: Sep 30, 2019

Accepted: Oct 16, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00048

Keywords
New extended rational SGEEM, KMN model, optical solitons

© 2019 Tukur Abdulkadir Sulaiman and Hasan Bulut, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Figure 1

Figure 2

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

Published Online: Dec 24, 2019

Page range: 513 - 522

Received: Sep 30, 2019

Accepted: Oct 16, 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00048

KeywordsNew extended rational SGEEM, KMN model, optical solitons

© 2019 Tukur Abdulkadir Sulaiman and Hasan Bulut, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Figure 1

Figure 2

Keywords
New extended rational SGEEM, KMN model, optical solitons