New analytical solutions and modulation instability analysis for the nonlinear (1+1)-dimensional Phi-four model-Reference-Cited by-同舟云学术

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

Published:2023-06-01 Issue:1 Volume:1 Page:79-90
ISSN:2956-7068
Container-title:International Journal of Mathematics and Computer in Engineering
language:en
Short-container-title:

Author:

Gasmi Boubekeur¹,Ciancio Armando²,Moussa Alaaeddin³,Alhakim Lama³,Mati Yazid³

Affiliation:

1. 1 Higher School of Management and Digital Economy , Kolea, Tipaza , Algeria

2. 2 Department of Biomedical and Dental Sciences and Morphofunctional Imaging , University of Messina , Messina , Italy

3. 3 Department of Management Information System and Production Management, College of Business and Economics , Qassim University , P.O. BOX 6666, Buraidah: 51452 , Saudi Arabia .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/ijmce-2023-0006

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