Existence and regularity of shock-effected solitons for nonlinear problems in electro-cardiac-physiology

Abstract

In this paper, mainly the exact traveling waves fitting the mathematical model in electro-cardio-physiology have been investigated. The source functions of noise-type are used in the proposed coupled system of nonlinear partial differential equations. The Ricatti-Bernoulli Sub-ODE method together with the Backlund extension is applied. The interesting plots for the obtained traveling waves and solitons are shown. The proposed model provides new applications for the considerations under the electric pulses or shocks. The application of current method and the modification of classical existence theory are first time applied to the stochastic nonlinear problems in electro-cardiac-physiology.