Effect of β-derivative on time fractional Jaulent–Miodek system under modified auxiliary equation method and exp(−g(Ω))-expansion method

Iqra Zainab and Ghazala Akram

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

Abstract: The time fractional Jaulent–Miodek (JM) system is investigated analytically under β-derivative in this study. The JM system is associated with energy dependent potential of the Schrödinger equation having applications in fluid dynamics, condensed matter physics, optics and engineering systems. Two reliable and proficient techniques, namely, the modified auxiliary equation method and exp(−g(Ω))-expansion method are used for extraction of exact solutions of the governing system. The impact of variation of fractional parameter is demonstrated through graphs by assigning particular values to free parameters in obtained solutions.

Keywords: Nonlinear fractional partial differential equations; Jaulent–Miodek system; Modified auxiliary equation method; Exp(-g(Ω))-expansion method; Exact solutions (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000486

DOI: 10.1016/j.chaos.2023.113147

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