Abstract
Abstract In this article, a new generalized exponential rational function method (GERFM) is employed to extract new solitary wave solutions for the ionic currents along microtubules dynamical equations, which is very interested in nanobiosciences. In this article, the stability of the solutions is also studied. As a result, a variety of solitary waves are obtained with free parameters such as periodic wave solution and dark and bright solitary wave solutions. The solutions are plotted and used to describe physical phenomena of the problem. The work shows the power of GERFM. We found that the proposed method is reliable and effective and gives analytical and exact solutions.
Highlights
A wide range of physical phenomena and engineering, biological, and medical applications are described by nonlinear evaluation equations (NLEEs)
In order to well understand the dynamics of these applications, it is important to find analytical solutions [1,2,3,4,5,6,7,8,9,10]
Nanowire cable in electrostatics of nanosystems is considered as one of the applications of microtubules, and it plays a vital role in morphogenesis [37,38]
Summary
A wide range of physical phenomena and engineering, biological, and medical applications are described by nonlinear evaluation equations (NLEEs). In order to well understand the dynamics of these applications, it is important to find analytical solutions [1,2,3,4,5,6,7,8,9,10]. It plays an important role in cellular movement and transport [33,34]. The transmission line models of nanoionic currents along microtubules are studied that is given by ref. Solitary wave solutions of the ionic currents along microtubule dynamical equations 495.
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