Dynamical features of tsunami type wave through the Whitham-Broer-Kaup equation: time varying exact solutions
Year: 2026
Type: article
Abstract: The Whitham–Broer–Kaup (WBK) model describes tsunami type wave pattern due to involvedness of dispersion, dissipation as well as weedy nonlinear effects. As the wave evolutions rise with time, we are going to investigate time varying wave solutions of the nonlinear model. To do that this article applied modified simple equation (MSE) and enhanced modified simple equation (EMSE) schemes on the WBK model to extract time varying wave pattern. As a result, we found the time varying solitary wave solutions as kink and anti-kink, kinky-periodic, parabolic-periodic, multi-period and periodic wave for some free parameters with their numerical values carried some massive soliton wave which can produces tsunami. Some plentiful 3D figures, density plot and counter plot are sketch from the obtained solutions to understand the topic and their description are deliberated properly. By analyzing the achieved results, it is vibrant that the EMSE and MSE scheme is informal, reliable and effective to arise the time varying wave evolutions of such model applicable in water-wave mechanism as tsunami type massive wave.
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: W7210273986