Work

A new modified conformal expansion method to some nonlinear conformal partial differential equations

Year: 2025

Type: article

Abstract: In this paper, a new modified conformal expansion method is employed to derive exact solutions to specific nonlinear partial differential equations. Katugampola's derivative and the complex transform are utilized to convert nonlinear partial differential equations into nonlinear ordinary differential equations. The efficacy of the proposed methodology is substantiated through the application of Whitham-Broer-Kaup equations, coupled Burgers equations, and coupled mKdV equations. Various analytical solutions including hyperbolic, singular kink, singular periodic, and trigonometric solutions are extracted. Wave simulations of results found in this paper are also plotted.

Source: International Journal of Mathematics and Computer in Engineering

DOI: 10.2478/ijmce-2025-0029

Authors: Lama Alhakim, Alaaeddin Moussa, Boubekeur Gasmi, Yazid Mati, Md Nurul Raihen

Institutions: Qassim University, The Higher School of Management and Digital Economy, University of Toledo

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4417420178

FWCI: 0.886

Cites: 29

Cited by: 2

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