Stable soliton solutions to the nonlinear low-pass electrical transmission lines and the Cahn-Allen equation

Abstract

The low-pass nonlinear electrical transmission lines and the Cahn-Allen equation are important nonlinear model equations to figure out different tangible systems, namely, electrical engineering, fluid dynamics etc. The contrivance of this study is to introduce advanced Bernoulli sub-equation function method to search for stable and effective solitary solutions of the described wave equations. Stable solitary solutions are reported as an integration of exponential functions, hyperbolic functions, etc., and the graphical implications for specific values of the corresponding parameters are explained in the solutions obtained in order to uncover the inmost structure of the tangible phenomena. It is establish that the IBSEF method is reliable, contented and might be used in further works to found ample novel soliton solutions for other types of NLEEs arising in physical science and engineering.

Solitary waves of M-fractional low-pass nonlinear electrical transmission line model arising in network system

“…The nonlinear relationshipspecifies the second-order curve fitting for the diode characteristics or the MOS (metal-oxidesemiconductor) varactor characteristics according to the signs of constants in this equality. After some mathematical operation, the low-pass nonlinear electrical transmission lines model is given as [4][5][6][7],…”

New Exact Solutions of Landau-Ginzburg-Higgs Equation Using Power Index Method

“…[1]. Recently, several methods have been used to find exact solutions of nonlinear model equations like Cahn-Allen equation [2], ð2 + 1Þ -dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation [3], Newell-Whitehead-Segel (NWS) equations [4], the Chaffee-Infante equation [5], DNA Peyrard-Bishop equation [6], Burger's equation [7], the ð2 + 1Þ-dimensional nonlinear Sharma-Tasso-Olver equation [8], and Ablowitz-Kaup-Newell-Segur water wave equation [9]. Recently, a number of concrete techniques have been recognized for finding accurate and comprehensible solutions of nonlinear physical models with the help of computer algebra, such as Maple, MATLAB, and Mathematica.…”