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Study on abundant explicit wave solutions of the thin-film Ferro-electric materials equation

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Abstract

From point of view of two distinct various techniques accurate solutions for the thin-film ferroelectric materials equation which plays vital role in optics are implemented which represent haw utilized waves propagate through ferroelectric materials. The first one is the modified simple equation method which surrender to the balance rule and gives closed form analytical solution for all applicable problems while the second has personal profile named theas Riccati-Bernoulli Sub-ODE method which not surrender to the balance rule and has special effective properties in calculations. These methods can be used perfectly to achieve the exact solutions for different types of nonlinear problems arising in various branches of science. Via giving the appearing variables definite values, 2D and 3D- impressive graphs of some achieved solutions are drawled.

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Authors and Affiliations

  1. Department of Mathematics and Physical Engineering, Faculty of Engineering at Shubra, Benha University, Cairo, Egypt

    Emad H. Zahran

  2. Department of Mathematics, Payame Noor University (PNU), Tehran, Iran

    Seyed M. Mirhosseini-Alizamini

  3. Departments of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

    Maha S. M. Shehata

  4. School of Engineering, Amol Universities of Special Modern Technologies, Amol, Iran

    Hadi Rezazadeh

  5. Department of Basic Sciences, University of Engineering and Technology, Peshawar, Pakistan

    Hijaz Ahmad

  6. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186, Roma, Italy

    Hijaz Ahmad

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  1. Emad H. Zahran
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  2. Seyed M. Mirhosseini-Alizamini
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  3. Maha S. M. Shehata
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  4. Hadi Rezazadeh
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  5. Hijaz Ahmad
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Correspondence to Hijaz Ahmad.

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Zahran, E.H., Mirhosseini-Alizamini, S.M., Shehata, M.S.M. et al. Study on abundant explicit wave solutions of the thin-film Ferro-electric materials equation. Opt Quant Electron 54, 48 (2022). https://doi.org/10.1007/s11082-021-03296-x

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