Painlevé approach and its applications to get new exact solutions of three biological models instead of its numerical solutions
Ahmet Bekir, Emad H. M. Zahran
Abstract
This paper focuses on realizing the exact solutions of three distinct important biological models using the Painlevé approach. These three models are the nonlinear dynamics of microtubules — a new model, the Kundu–Eckhaus model and the double chain model of DNA. Furthermore, the numerical solutions of these three equations have been achieved using the variational iteration method.
Topics & Concepts
Nonlinear systemExact solutions in general relativityChain (unit)Applied mathematicsComputer scienceNumerical analysisStatistical physicsMathematicsPhysicsMathematical analysisAstronomyQuantum mechanicsNonlinear Waves and SolitonsMicrotubule and mitosis dynamicsFractional Differential Equations Solutions