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JOURNALS // Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie // Archive

Vestnik YuUrGU. Ser. Mat. Model. Progr., 2023 Volume 16, Issue 2, Pages 5–13 (Mi vyuru680)

Mathematical Modelling

Exact solutions of beta-fractional Fokas–Lenells equation via sine-cosine method

Volkan Alaa, Berik Rakhimzhanovb

a Mersin University, Science Faculty, Department of Mathematics, Mersin, Turkiye
b JSC National Company Kazakhstan Gharysh Sapary, Astana, Kazakhstan

Abstract: In nonlinear plasma physics, photonics and optics, the space-time fractional nonlinear Fokas–Lenells equation associated with beta derivative has significiant applications. This equation is used in this study to provide precise solutions using the Sine-Cosine method. Furthermore, using computer software, we plot the 2D-3D figures of the obtained solutions based on the appropriate parameters. The findings indicate that the suggested technique is simple, efficient and capable of producing complete solutions to nonlinear models due to mathematical physics.

Keywords: Sine-cosine method, exact solutions, beta derivative, Fokas–Lenells equation.

UDC: 517.984.54

MSC: 35C08, 34K20, 32W50

Received: 28.12.2022

Language: English

DOI: 10.14529/mmp230201



© Steklov Math. Inst. of RAS, 2024