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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The authors acknowledge the research grant No. A-1220/5/52/RU/Science-37/2019–2020.
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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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DOI: https://doi.org/10.1007/978-981-15-8061-1_38
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