Investigating fluctuation varieties in the propagation of the perturbed KdV equation with time-dependent perturbation coefficient
Year: 2025
Type: article
Abstract: This study investigates the perturbed Korteweg–de Vries equation modified by incorporating time-dependent perturbation coefficient to model random fluctuations within the wave dynamics. This enhanced equation captures the probabilistic aspects of wave behavior in uncertain environments, accounting for the effects of inherent noise. The Hirota bilinear method, tanh-expansion approach, and the sine(cosine)-function method are employed to derive perturbed soliton solutions. By assigning various functional forms such as periodic, polynomial, and decaying exponential, to the proposed time-dependent coefficient, novel solitary wave patterns of types like-breather, regular(singular)-bell shaped, and periodic solutions are emerged with fluctuations. These findings are relevant for systems where environmental variability or intrinsic noise significantly affects dynamics, such as diffusion processes in physics and uncertainty behavior of water waves.
Author: Marwan Alquran
Institution: Jordan University of Science and Technology
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: $1,470
OpenAlex ID: W4410132483