Letter to the Editor on HFF 32, 138 (2022); 32, 2282 (2022); 33, 965 (2023) and 34, 1189 (2024) for the recent shallow-water studies

Abstract

Ramos and Garcia Lopez (2024) have absorbingly studied the shallow water, i.e., on certain multiple soliton solutions and lump solutions for two integrable shallow water wave equations (Wazwaz, 2022), Gramian solutions and solitonic interactions for a (2þ1)-dimensional Broer-Kaup-Kupershmidt system in the shallow water (Li et al., 2022), soliton solutions for a (2þ1)-dimensional Korteweg-de Vries equation describing the shallow water waves (Khuri, 2023) as well as blowup in finite time of the numerical solutions for a (1þ1)-dimensional, bidirectional, nonlinear wave model for the small-amplitude waves in shallow water, depending upon the relaxation time, linear and nonlinear drift, power of the nonlinear advection flux, viscosity coefficient, viscous attenuation, etc. (Ramos and Garcia Lopez, 2024).Enthusiasm for the shallow water has been warmed by Wazwaz (2022), Li et al. (2022), Khuri (2023) and Ramos and Garcia Lopez (2024), and consequently this shallow-wateroriented Letter aims to deal with a (2þ1)-dimensional generalised modified dispersive waterwave system for the nonlinear and dispersive long gravity waves travelling along two horizontal directions in the shallow water of uniform depth (Gao et al., 2023a;Liu et al., 2023