<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

Publié en ligne: 27 mai 2020

Pages: 29 - 42

Reçu: 04 avr. 2019

Accepté: 29 juil. 2019

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

Mots clés
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.

Figure 1

Figure 2

Figure 3

On the exact solutions to some system of complex nonlinear models

Publié en ligne: 27 mai 2020

Pages: 29 - 42

Reçu: 04 avr. 2019

Accepté: 29 juil. 2019

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

Mots clésThe 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.

Figure 1

Figure 2

Figure 3

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