Approximate Analytical Approaches to Nonlinear Differential Equations: A Review of Perturbation, Decomposition and Coefficient Methods in Engineering

M Umer, P Olejnik - Archives of Computational Methods in Engineering, 2025 - Springer
This paper reviews modern approximate analytical methods for solving symmetric and non-
symmetric dynamical problems, including the Perturbation Method using the Green function …

Computational analysis to the nonlinear breaking soliton model through the auxiliary equation scheme

M Al-Amin, MN Islam, MA Akbar, MN Islam - Nonlinear Science, 2025 - Elsevier
The nonlinear breaking soliton model is one of the important nonlinear evolution equations,
which plays a significance role to explain the solitary wave propagation in shallow water …

Real-World Applications of Analytic Travelling Wave Solutions of a (3+ 1)-Dimensional Hirota–Satsuma–Ito-Like System Via Polynomial Complete Discriminant …

OD Adeyemo - International Journal of Applied and Computational …, 2025 - Springer
Abstract Models reveal the dynamic character of wave motion, delineated in shallow waters
alongside fluid dynamics; an example is the Hirota–Satsuma–Ito model equation. Therefore …