Analysis of the mKdV Equation in Magnetohydrodynamics for Exploring Solitons and Nonlinear Dynamics
The 3rd International Conference: Constructive Mathematical Analysis (ICCMA 2025), Konya, Türkiye, 2 - 05 Temmuz 2025, ss.80, (Özet Bildiri)
- Yayın Türü: Bildiri / Özet Bildiri
- Basıldığı Şehir: Konya
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.80
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
In this study, we construct the traveling wave solutions for the nonlinear mKdV equation using the φ 6 -model expansion approach. The KdV equation is applied in shallow water and stratified flows, classical and magnetohydrodynamics, plasma physics and other scientific fields. The explicit retrieval of a wide range of solution types, including bright, singular, dark, and singular soliton solutions, is made possible by the φ 6 -model expansion technique. Another kind of solution that are explicitly retrieved are kinktype solitons, which are referred to as topological solitons in the context of water waves. The nonlinear dynamical features of the equation may be improved by the outcomes of this research. The method proposes a useful and effective approach for solving a large class of non-linear partial differential equations. Interesting graphs are used to illustrate and highlight the dynamical characteristics of the solutions obtained.