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Exact Soliton Solutions to the Nano-Bioscience and Biophysics Equations Through the Modified Simple Equation Method

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Proceedings of the Sixth International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1262))

Abstract

The nano-ionic currents along microtubules (MTs) and the equation of microtubules in nano-biosciences as nonlinear RLC transmission line are very significant nonlinear evolution equations (NLEEs) in biological physics and applied mathematics. The modified simple equation (MSE) method is useful, functional, and efficacious to extract exact soliton solutions. But, when the balance number is greater than one, it is challenging to find out the solutions. In this article, we have put in use the MSE method to ascertain some solutions accessible in the literature and establish some new soliton solutions to the equations described earlier each of which has a balance number two. In the first instance, we have established a general solution comprising some subjective parameters. We analyze the solitary wave properties of the solutions by depicting 3D graphs.

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Acknowledgment

The authors acknowledge the research grant No. A-1220/5/52/RU/Science-37/2019–2020.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

    Md. Abdul Kayum, Hemonta Kumar Barman & M. Ali Akbar

Authors
  1. Md. Abdul Kayum
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  2. Hemonta Kumar Barman
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  3. M. Ali Akbar
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Corresponding author

Correspondence to M. Ali Akbar .

Editor information

Editors and Affiliations

  1. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debasis Giri

  2. School of Computing and Information Systems, University of Melbourne, Melbourne, VIC, Australia

    Rajkumar Buyya

  3. Department of Mathematics, Indian Institute of Technology Madras, Chennai, India

    S. Ponnusamy

  4. Department of Computer Science and Engineering, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debashis De

  5. Unconventional Computing Laboratory, Department of Computer Science and Creative Technologies, University of the West of England, Bristol, UK

    Andrew Adamatzky

  6. Faculty of Science, Engineering and Built Environment, Deakin University Geelong, Geelong, VIC, Australia

    Jemal H. Abawajy

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Kayum, M.A., Barman, H.K., Akbar, M.A. (2021). Exact Soliton Solutions to the Nano-Bioscience and Biophysics Equations Through the Modified Simple Equation Method. In: Giri, D., Buyya, R., Ponnusamy, S., De, D., Adamatzky, A., Abawajy, J.H. (eds) Proceedings of the Sixth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1262. Springer, Singapore. https://doi.org/10.1007/978-981-15-8061-1_38

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