Probabilities and Probable Solutions of a Modified KdV Type Nonlinear Partial Differential Equation
J. R. Bogning *
University of Bamenda, Higher Teacher Training College Bambili, Department of Physics, P.O. Box. 39 Bamenda, Cameroon.
R. Njikue
University of Yaoundé 1, Faculty of Science, Laboratory of Mechanics, P.O. Box. 812, Yaoundé, Cameroon.
J. P. Ngantcha
Laboratoire de Mécanique des Matériaux, Ecole Polytechnique, Université des Sciences et Techniques de Masuku, P.O. Box. 941 Franceville, Gabon.
H. M. Omanda
Laboratoire Pluridisciplinaire des Sciences, Ecole Normale Supérieure, P.O. Box. 17009, Libreville, Gabon and Laboratoire de Mécanique des Matériaux, Ecole Polytechnique, Université des Sciences et Techniques de Masuku, P.O. Box. 941 Franceville, Gabon.
C.T. Djeumen Tchaho
Lycée Technique Fulbert Bongotha, PO. Box. 15, Moanda, Gabon and African Centre for Advanced Studies, P.O. Box 4477, Cameroon.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: KdV equation, iB-functions, solitary wave, range equations, probabilities of the pairs