Work

Qualitative Analysis and Novel Exact Soliton Solutions to the Compound Korteweg–De Vries–Burgers Equation

Year: 2024

Type: article

Abstract: The paper consists on the exact wave results of the (1+1)-dimensional nonlinear compound Korteweg-De Vries, and Burgers (KdVB) equation with a truncated M- fractional derivative. This model represents the generalization of Korteweg-De Vries- modified Korteweg-De Vries and Burgers equations. We obtained the periodic, combo- singular,dark-bright, and other wave results with the use of the extended sinh-Gordon equation expansion (EShGEE), and the modified (G′/G2)-expansion techniques. The use of effective fractional derivative makes our results much better than the existing results. The gained solutions are useful as well as applicable in the various fields including the mathematical physics, plasma physics, ocean engineering, optics, etc. The obtained solutions are demonstrated by 2-D, 3-D, and Contour plots. The achieved results are fruitful in future research concerned equation. Stability analysis is used to check that the results are precise as well as exact. The modulation instability (MI) is performed to find stable steady-state solutions of the concerned model. At the end, it is suggested that the methods used are easy and reliable.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8120752

Authors: Abdulrahman Alomair, Abdulaziz S Al Naim, Mustafa Bayram

Institutions: King Faisal University, Biruni University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

Funder: King Faisal University