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

<p>This paper deals with the nonlinear (1+1)-dimensional Phi-four equation in the sense of the Katugampola operator, which can be used to model a variety of real-world applications. To solve this equation, we propose a generalized double auxiliary equation method that yields several new exact solutions. We also use linear stability analysis to discuss the instability modulation analysis for stationary solutions. Other partial differential equations can have their exact solutions found using the proposed methodology.</p>
</abstract>

This paper deals with the nonlinear (1+1)-dimensional Phi-four equation in the sense of the Katugampola operator, which can be used to model a variety of real-world applications. To solve this equation, we propose a generalized double auxiliary equation method that yields several new exact solutions. We also use linear stability analysis to discuss the instability modulation analysis for stationary solutions. Other partial differential equations can have their exact solutions found using the proposed methodology.

New analytical solutions and modulation instability analysis for the nonlinear (1+1)-dimensional Phi-four model

Department of Biomedical and Dental Sciences and Morphofunctional Imaging

Department of Management Information System and Production Management, College of Business and Economics

International Journal of Mathematics and Computer in Engineering

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

This paper deals with the nonlinear (1+1)-dimensional Phi-four equation in the sense of the Katugampola operator, which can be used to model a variety of...

New analytical solutions and modulation instability analysis for the nonlinear (1+1)-dimensional Phi-four model

Published Online: Jun 09, 2023

Page range: 79 - 90

Received: May 03, 2023

Accepted: Jun 01, 2023

DOI: https://doi.org/10.2478/ijmce-2023-0006

Keywords
Generalized double auxiliary equation method, Katugampola derivative, instability modulation analysis, exact solutions

© 2023 Boubekeur Gasmi et al., published by Sciendo

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

New analytical solutions and modulation instability analysis for the nonlinear (1+1)-dimensional Phi-four model

Published Online: Jun 09, 2023

Page range: 79 - 90

Received: May 03, 2023

Accepted: Jun 01, 2023

DOI: https://doi.org/10.2478/ijmce-2023-0006

KeywordsGeneralized double auxiliary equation method, Katugampola derivative, instability modulation analysis, exact solutions

© 2023 Boubekeur Gasmi et al., published by Sciendo

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

Keywords
Generalized double auxiliary equation method, Katugampola derivative, instability modulation analysis, exact solutions