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

Author

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  • Zainab, Iqra
  • Akram, Ghazala

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.

Suggested Citation

  • Zainab, Iqra & Akram, Ghazala, 2023. "Effect of β-derivative on time fractional Jaulent–Miodek system under modified auxiliary equation method and exp(−g(Ω))-expansion method," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000486
    DOI: 10.1016/j.chaos.2023.113147
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    References listed on IDEAS

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    1. Akram, Ghazala & Sadaf, Maasoomah & Zainab, Iqra, 2022. "Observations of fractional effects of β-derivative and M-truncated derivative for space time fractional Phi-4 equation via two analytical techniques," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Iqbal, Muhammad S. & Seadawy, Aly R. & Baber, Muhammad Z. & Qasim, Muhammad, 2022. "Application of modified exponential rational function method to Jaulent–Miodek system leading to exact classical solutions," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Sekson Sirisubtawee & Sanoe Koonprasert, 2018. "Exact Traveling Wave Solutions of Certain Nonlinear Partial Differential Equations Using the -Expansion Method," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-15, June.
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