Proceedings of International Conference on Applied Innovation in IT
2025/06/27, Volume 13, Issue 2, pp.347-352

Solitary Wave Structures of the One-Dimensional Mikhailov-Novikov-Wang System Using Kudryashov's New Function Method


Nadia Dahham Rashad, Mohammed Al-Amr and Ahmed Mohammed Fawze


Abstract: Traveling waves and integrable equations are the most well-known features of nonlinear wave propagation phenomena. Analytical solutions to nonlinear integrable equations play an important role in examining the behaviour and structure of nonlinear systems. They offer valuable insights into how these systems evolve over time and under different conditions. Such solutions are essential for accurately describing a range of real-world phenomena. This study aims to derive closed-form traveling wave solutions of the (1+1)-dimensional Mikhailov-Novikov-Wang model by employing the Kudryashovʼs new function method. This system provides novel perspectives for understanding the connection between integrability and water wave phenomena. New solitary wave solutions are constructed in terms of hyperbolic functions by assigning particular values of the parameters. The study yields two types of solitons, including bell-shaped and singular soliton solutions. The solutions are simulated in 2D and 3D graphical representations to illustrate their physical features. The results highlight the effectiveness of the employed approach in constructing novel solutions which are essential to understand the dynamics of the governing system.

Keywords: Traveling Wave Solutions, Mikhailov-Novikov-Wang System, Kudryashovʼs New Function Method, Solitons.

DOI: 10.25673/120455

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