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/v18i130350Abstract
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.
References (8)
- 1 Modulated Soliton Solution of the Modified Kuramoto-Sivashinsky's Equation [DOI]
- 2 Solitary Waves and Property Management of Nonlinear Dispersive and Flattened Optical Fiber [DOI]
- 3 Combined Solitary Wave Solutions in Higher-order Effects Optical Fibers [DOI]
- 4 Coupled soliton solutions of modeled equations in a Noguchi electrical line with crosslink capacitor [DOI]
- 5 N th Order Pulse Solitary Wave Solution and Modulational Instability in the Boussinesq Equation
- 6 Solitary Wave Solutions of the Modified Sasa - Satsuma Nonlinear Partial Differential Equation
- 7 Exact Solitary Wave Solutions of the (3+1) Modified B-type Kadomtsev-Petviashvili Family Equations
- 8 American Journal of Optics and Photonics [DOI]
Cited by 5
J. P. Ngantcha, H. Omanda, C. T. D. Tchaho · Current Journal of Applied Science and Technology · 2022
J. R. Bogning, C. R. Ngouo Tchinda · Asian Journal of Research and Reviews in Physics · 2022
J. R. Bogning, Marcelle Nina Zambo Abou’ou, C. N. Tchinda · Journal of Applied Mathematics and Physics · 2024
C. T. D. Tchaho, J. P. Ngantcha, H. Omanda · Optics and Photonics Journal · 2022
Showing 4 of 5 known citations — external sources report more than can currently be individually listed.
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