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El-Sheikh, M.M.A., Seadawy, A.R., Ahmed, H.M., Arnous, A.H. and Rabie, W.B. (2020) Dispersive and Propagation of Shallow Water Waves as a Higher Order Nonlinear Boussinesq-Like Dynamical Wave Equations. Physica A: Statistical Mechanics and Its Applications, 537, Article ID: 122662.
https://doi.org/10.1016/j.physa.2019.122662

has been cited by the following article:

• TITLE: Dynamics and Exact Solutions of (1 + 1)-Dimensional Generalized Boussinesq Equation with Time-Space Dispersion Term

  AUTHORS: Dahe Feng, Jibin Li, Jianjun Jiao

  KEYWORDS: Generalized Boussinesq Equation, Improved Sub-Equation Method, Bifurcation, Soliton Solution, Periodic Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.8, August 6, 2024

  ABSTRACT: We study exact solutions to (1 + 1)-dimensional generalized Boussinesq equation with time-space dispersion term by making use of improved sub-equation method, and analyse the dynamical behavior and exact solutions of the sub-equation after constructing the nonlinear transformation and constraint conditions. Accordingly, we obtain twenty families of exact solutions such as analytical and singular solitons and singular periodic waves. In addition, we discuss the impact of system parameters on wave propagation.