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

<p>In this manuscript, the application of the extended sinh-Gordon equation expansion method to the Davey-Stewartson equation and the (2+1)-dimensional nonlinear complex coupled Maccari system is presented. The Davey-Stewartson equation arises as a result of multiple-scale analysis of modulated nonlinear surface gravity waves propagating over a horizontal seabed and the (2+1)-dimensional nonlinear complex coupled Maccari equation describes the motion of the isolated waves, localized in a small part of space, in many fields such as hydrodynamic, plasma physics, nonlinear optics. We successfully construct some soliton, singular soliton and singular periodic wave solutions to these two nonlinear complex models. The 2D, 3D and contour graphs to some of the obtained solutions are presented.</p>
</abstract>

In this manuscript, the application of the extended sinh-Gordon equation expansion method to the Davey-Stewartson equation and the (2+1)-dimensional nonlinear complex coupled Maccari system is presented. The Davey-Stewartson equation arises as a result of multiple-scale analysis of modulated nonlinear surface gravity waves propagating over a horizontal seabed and the (2+1)-dimensional nonlinear complex coupled Maccari equation describes the motion of the isolated waves, localized in a small part of space, in many fields such as hydrodynamic, plasma physics, nonlinear optics. We successfully construct some soliton, singular soliton and singular periodic wave solutions to these two nonlinear complex models. The 2D, 3D and contour graphs to some of the obtained solutions are presented.

On the exact solutions to some system of complex nonlinear models

Applied Mathematics and Nonlinear Sciences

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

{"article-title":"On the exact solutions to some system of complex nonlinear models"}

In this manuscript, the application of the extended sinh-Gordon equation expansion method to the Davey-Stewartson equation and the (2+1)-dimensional nonlinear...

On the exact solutions to some system of complex nonlinear models

Published Online: May 27, 2020

Page range: 29 - 42

Received: Apr 04, 2019

Accepted: Jul 29, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00007

Keywords
The extended ShEEM, Maccari's system, Davey-Stewartson equation, soliton solutions

© 2020 Tukur Abdulkadir Sulaiman et al., published by Sciendo

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

On the exact solutions to some system of complex nonlinear models

Published Online: May 27, 2020

Page range: 29 - 42

Received: Apr 04, 2019

Accepted: Jul 29, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00007

KeywordsThe extended ShEEM, Maccari's system, Davey-Stewartson equation, soliton solutions

© 2020 Tukur Abdulkadir Sulaiman et al., published by Sciendo

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

Keywords
The extended ShEEM, Maccari's system, Davey-Stewartson equation, soliton solutions