journal article·2021-11-22Open access

On Soliton Solutions of Perturbed Boussinesq and KdV-Caudery-Dodd-Gibbon Equations

Muhammad Imran Asjad, Hamood Ur Rehman, Zunaira Ishfaq, Jan Awrejcewicz, Ali Akgül, Muhammad Bilal Riaz

Coatings· Volume 11· Issue 11

Abstract

Nonlinear science is a fundamental science frontier that includes research in the common properties of nonlinear phenomena. This article is devoted for the study of new extended hyperbolic function method (EHFM) to attain the exact soliton solutions of the perturbed Boussinesq equation (PBE) and KdV–Caudery–Dodd–Gibbon (KdV-CDG) equation. We can claim that these solutions are new and are not previously presented in the literature. In addition, 2d and 3d graphics are drawn to exhibit the physical behavior of obtained new exact solutions.
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Research context

OpenAlex topics: Nonlinear Waves and Solitons · Nonlinear Photonic Systems · Fractional Differential Equations Solutions

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan

Department of Mathematics, University of Okara, Okara 56300, Pakistan

Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, Poland

Department of Mathematics, Art and Science Faculty, Siirt University, Siirt 56100, Turkey

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