Bölüm Seminerleri

Konuşmacı:
Dr. Öğretim Üyesi Ulviye DEMİRBİLEK (Mersin Üniversitesi Matematik Bölümü)
Konuşma Başlığı:
Discovery of Soliton Solutions for Mathematical Physics Equations 
Konuşma Özeti:

Partial differential equations are commonly used to describe issues in various scientific and engineering fields. While widely used numerical methods help solve these equations, they often have limitations, such as modeling deficiencies and complex solution processes. To overcome these challenges, different analytical methods have been explored.

The Ito equation, first introduced in 1980, has undergone further development, leading to the creation of a fifth-order Ito equation. A  (3+1)-dimensional integrable extended modified Ito equation was later derived by augmenting this equation with three additional terms.

In this study, we obtained novel exact solutions for this equation, which are not found in existing literature. These solutions were derived using the extended hyperbolic function and modified Kudryashov methods. To analyze the dynamic behavior of these solutions, we provided 3D, contour, and 2D visualizations of selected solutions. The results highlight many new solutions, demonstrating the reliability and effectiveness of the methods used. 

Tarih / Saat:
26.04.2024 / 11:00 (Matematik Bölümü Seminer Salonu)
2025-02-19 13:07:08
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