Apr 24 – 26, 2025 HYBRID
Bishkek, Kyrgyzstan
Asia/Bishkek timezone

Applications of the Tanh Procedure to Nonlinear Differential Equations

Apr 25, 2025, 2:45 PM
15m
KTMU (Bishkek, Kyrgyzstan)

KTMU

Bishkek, Kyrgyzstan

C. Aytmatov Campus, Kyrgyzstan-Turkish Manas University, 720038, Jal, Bishkek, KYRGYZSTAN
Oral Presentation Modern Applications in Mathematical Modeling, Data Analysis, Optimization, Numerical Methods and Scientific Programming, Mathematical Biology, Mathematical Chemistry and Mathematical Physics Mathematical Sciences Modern Applications Session Hall 2

Speaker

Özge Hamzaoğlu

Description

In our study, the tanh method was considered and applied to a nonlinear partial differential equation that describes a physical phenomenon. By applying the method to the equation, six different solution families were obtained, and the solutions were expressed in terms of hyperbolic functions. By assigning values to the arbitrary constants in the obtained solutions, 3D, 2D, and contour graphs were plotted. The physical interpretation of the graphs was conducted, and comments were made regarding wave motions. As a result, it was observed that the proposed method is effective and suitable for finding solutions to the equation. Our findings are applicable in fields such as physics and engineering.

Keywords Tanh Procedure, Wave solutions, Exact Solutions, Nonlinear differential Equations

Primary author

Co-author

Dr Arzu AKBULUT (Bursa uludağ Üniversity)

Presentation materials