Abstract
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.KeywordsMicrotubulesNonlinear RLC transmission lineSolitary wave solutionsMSE methodExact solutions
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