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Research Article Open access CC BY 4.0

Probabilities and Probable Solutions of a Modified KdV Type Nonlinear Partial Differential Equation

J. R. Bogning, R. Njikue, J. P. Ngantcha, H. M. Omanda, C.T. Djeumen Tchaho

Asian Research Journal of Mathematics · pp. 1–13 · Published 5 Jan 2022

10.9734/arjom/2022/v18i130350

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.

KdV equation iB-functions solitary wave range equations probabilities of the pairs

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Cited by 5

Hybridization of Solitary Wave Solutions in (2+1)-dimentional Complex Ginzburg-Landau Equation

J. P. Ngantcha, H. Omanda, C. T. D. Tchaho · Current Journal of Applied Science and Technology · 2022

Modulational Instability of the Second-order Bright Solitary Wave in Flattened Optical Fiber

J. R. Bogning, C. R. Ngouo Tchinda · Asian Journal of Research and Reviews in Physics · 2022

Influence of Waveguide Properties on Wave Prototypes Likely to Accompany the Dynamics of Four-Wave Mixing in Optical Fibers

J. R. Bogning, Marcelle Nina Zambo Abou’ou, C. N. Tchinda · Journal of Applied Mathematics and Physics · 2024

Sasa-Satsuma’s Dynamical Equation and Optical Solitary Wave Solutions

C. T. D. Tchaho, J. P. Ngantcha, H. Omanda · Optics and Photonics Journal · 2022

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