Dynamical Analysis of Nonlocalized Wave Solutions of (2 + 1)‐Dimensional CBS and RLW Equation with the Impact of Fractionality and Free Parameters

Nur Hasan Mahmud Shahen, Foyjonnesa, Md. Rafiqul Islam, Ahmet Bekir and M.M. Rahman

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

Abstract: This study retrieves some new exact solutions to the (2 + 1)‐dimensional Calogero‐Bogoyavlenskii‐Schilf (CSB) equation and regularized long wave (RLW) equation in the context of nonlinear traveling wave phenomena. In this regard, the advanced exp(−φ(ξ))‐expansion method is imposed to the (2 + 1)‐dimensional CBS and RLW equation, and consequently, rogue, kink, singular kink, periodic, singular, and multiple soliton solutions are exhibited in terms of trigonometric, hyperbolic, and rational function solutions. To enucleate the underlying nonlocalized traveling wave features, accomplished exact solutions are established by making their dynamic behavior of the exact solutions exhibited in three‐dimensional (3D) and two‐dimensional (2D) combined chart with the help of computational software Maple 18. All of our accomplished solutions are claimed to be new in the sense of conformable derivative, chosen a unique fractional type wave transformation, dynamical behavior of fractionally and free variable, and the imposed method on our preferred equations.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2022/3031117

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:3031117

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().