Abstract

ZAFAR, A.; RAHEEL, M.; MIRZAZADEH, M.  and  ESLAMI, M.. Different soliton solutions to the modified equal-width wave equation with Beta-time fractional derivative via two different methods. Rev. mex. fis. [online]. 2022, vol.68, n.1.  Epub June 23, 2023. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.68.010701.

In this paper, different types of solitary wave solutions for the modified equal-width wave (MEW) equation with beta time derivative is obtained by implementing the extended Jacobi’s elliptic function expansion method and the Kudryashov method. The secured solutions are in the form of dark, bright, singular solitons and other soliton type solutions. The obtained solutions are verified through symbolic soft computation. The solutions also suggest that these two methods are effective, straight forward and reliable as compared to other methods. The obtained results can be used in describing the substantial understanding of the studious structures as well as other related non-linear physical structures.

Keywords : Modified equal width equation; beta derivative; soliton solutions.

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