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Investigation of solitons structures for nonlinear ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical equations

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Abstract

In this work, we analysis the novel behavior of solitons to the nonlinear evolution equations describing the ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical equations under an auxiliary equation approach. As a result, a variety of solitons solutions are achieved such as singular bright solitons, kink solitons, singular dark solitons and anti-kink solitons. All outcomes in this work are necessary to understand the physical meaning and behavior of the explored results and shed light on the significance of the investigation of several nonlinear wave phenomena in sciences and engineering including nonlinear optics, material energy, soliton wave theory, computational fluid mechanics, system identification, earthquake modeling, water wave mechanics, signal transmission, and optical fibers. We designed the utilized approach to be reliable and accurate, with precise for analytical results.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University Saudi Arabia for funding this work through Large Groups Project under grant number RGP2/423/44.

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The authors have not disclosed any funding.

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Authors and Affiliations

  1. School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu, 212013, People’s Republic of China

    Mujahid Iqbal & Dianchen Lu

  2. Department of Mathematics, National College of Business Administration and Economics Lahore, Sub-Campus, Multan, 66000, Pakistan

    Mujahid Iqbal & Muhammad Ashraf

  3. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R. Seadawy

  4. Department of Physics, College of Science, University of Ha’il, P.O. Box 2440, Ha’il, Saudi Arabia

    Hissah Saedoon Albaqawi

  5. Applied College, Mahala Campus and the Unit of Bee Research and Honey Production/Research Center for Advanced Materials Science (RCAMS), King Khalid University, Abha, 61413, Saudi Arabia

    Khalid Ali Khan

  6. Department of Biomedical Engineering, National Cheng Kung University, Tainan, 701401, Taiwan

    Dean Chou

  7. Medical Device Innovation Centre, National Cheng Kung University, Tainan, 701401, Taiwan

    Mujahid Iqbal, Dianchen Lu, Aly R. Seadawy, Muhammad Ashraf, Hissah Saedoon Albaqawi, Khalid Ali Khan & Dean Chou

  8. Academy of Innovative Semiconductor and Sustainable Manufacturing, National Cheng Kung University, Tainan, 701401, Taiwan

    Mujahid Iqbal, Dianchen Lu, Aly R. Seadawy, Muhammad Ashraf, Hissah Saedoon Albaqawi, Khalid Ali Khan & Dean Chou

  9. National Center for High-performance Computing, Hsinchu, 300092, Taiwan

    Mujahid Iqbal, Dianchen Lu, Aly R. Seadawy, Muhammad Ashraf, Hissah Saedoon Albaqawi, Khalid Ali Khan & Dean Chou

Authors
  1. Mujahid Iqbal
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  2. Dianchen Lu
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  3. Aly R. Seadawy
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  4. Muhammad Ashraf
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  5. Hissah Saedoon Albaqawi
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  6. Khalid Ali Khan
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  7. Dean Chou
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Contributions

MI: Writing-Original draft preparation, Methodology. DL: Software, Conceptualization. ARS: Data curation, Supervision. MA: Writing-Reviewing & Editing. HSA: Visualization, investigation. KAK: Resources, Validation. DC: Supervision, Formal analysis, acquisition.

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Correspondence to Mujahid Iqbal or Dean Chou.

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Iqbal, M., Lu, D., Seadawy, A.R. et al. Investigation of solitons structures for nonlinear ionic currents microtubule and Mikhaillov-Novikov-Wang dynamical equations. Opt Quant Electron 56, 361 (2024). https://doi.org/10.1007/s11082-023-05984-2

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