DOAJ Open Access 2024

Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation

Sirasrete Phoosree Nattinee Khongnual Jiraporn Sanjun Athassawat Kammanee Weerachai Thadee

Abstrak

In the field of mathematical physics, the Riccati sub-equation method is an important tool for locating the analytical solutions of nonlinear space–time fractional equations. In this study, we provide the Riccati sub-equation method for solving the space–time fractional equation by means of the Ablowitz–Kaup–Newell–Segur (AKNS) equation and the generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony (GZK-BBM) equation, which explain the effect of flood waves and plasma physics, respectively, and reach new analytical solutions, including parameters. Each equation yields fifteen different solutions, which are in the form of generalized hyperbolic functions, generalized triangular functions, and rational functions. The effect of the arising graphs of both equations is in the form of kink waves and periodic waves, which are presented in 2D and 3D graphs.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (5)

Sirasrete Phoosree

Nattinee Khongnual

Jiraporn Sanjun

Athassawat Kammanee

Weerachai Thadee

Format Sitasi

APA MLA BibTeX

Phoosree, S., Khongnual, N., Sanjun, J., Kammanee, A., Thadee, W. (2024). Riccati sub-equation method for solving fractional flood wave equation and fractional plasma physics equation. https://doi.org/10.1016/j.padiff.2024.100672

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2024.100672
Akses: Open Access ✓