Exploring accurate soliton propagation in physical systems: a computational study of the (1+1)-dimensional MNW integrable equation

• Published in: Computational & applied mathematics Vol. 43; no. 3
• Main Author: Khater, Mostafa M. A.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.04.2024; Springer Nature B.V
• Subjects: Applications of Mathematics; Computational Mathematics and Numerical Analysis; Iterative methods; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematics; Mathematics and Statistics; Nonlinear differential equations; Nonlinear equations; Numerical methods; Quantum mechanics; Robustness (mathematics); Solitary waves; Wave propagation; He’s variational iteration method; Unified method; Khater II method; 65M06; 35Q53; Integrable equation; 37K10; 35C08

This study investigates the integrable Mikhailov–Novikov–Wang ( MNW ) equation in (1+1)-dimensional space–time, utilizing rigorous analytical methodologies including the Unified ( U F ) and Khater II ( K hat.II ) methods, alongside numerical solutions. Situated within the established mathematical fr...