Open AccessProbabilities and Probable Solutions of a Modified KdV Type Nonlinear Partial Differential Equation
Author(s) -
Jean Roger Bogning,
Rodrique Njikue,
Jean Pierre Ngantcha,
Hugues Martial Omanda,
Clovis Taki Djeumen Tchaho
Publication year - 2022
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2022/v18i130350
Subject(s) - korteweg–de vries equation , partial differential equation , first order partial differential equation , mathematics , nonlinear system , function (biology) , type (biology) , range (aeronautics) , partial derivative , differential equation , mathematical analysis , work (physics) , physics , ecology , materials science , quantum mechanics , evolutionary biology , composite material , biology , thermodynamics
The goal of this work is not only the search for the solutions of a nonlinear partial differential equation, but how to locate and choose a form of solution verifying the nonlinear partial differential equation. In this work, we use the probabilities of appearance of the pairs (n, m) linked to iB-functions for which certain terms of the range of coefficients equations are grouped together to locate and then determine the solutions of the partial differential equation of the KdV type. The pairs (n, m) when identified, indicate with precision the iB-function which will choose from the start as the solution function which we want to build. The probabilities here are essential data to select the analytical sequences of the solutions to be investigated.