Open AccessThe Probabilities of Obtaining Solitary Wave and Other Solutions in the Modified Noguchi Power Line
Author(s) -
Jean Roger Bogning,
Cédric Jeatsa Dongmo,
Clément Tchawoua
Publication year - 2021
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v13n4p19
Subject(s) - mathematics , line (geometry) , function (biology) , nonlinear system , power (physics) , partial differential equation , mathematical analysis , set (abstract data type) , differential (mechanical device) , field (mathematics) , pure mathematics , geometry , computer science , physics , quantum mechanics , evolutionary biology , engineering , biology , programming language , aerospace engineering
We use the implicit Bogning function (iB-function) to proceed to a kind of inventory of the possible solutions of the modified nonlinear partial differential equation which characterizes the modified power line of Noguchi. Firstly, we make an inventory of the forms of solutions through a field of possible solutions, then we identify the most probable forms that we set out to look for. The iB-function is used because it summarizes within it several types of different functions depending on the choice of its characteristics and it is easy to handle in the case of strongly nonlinear partial differential equations. In other words, we use the notion of probability to locate, through the characteristic indices of iB-functions, the forms of solitary and traveling wave solutions likely to propagate in the modified Noguchi power line.