alexa Abstract | Solitary Waves for the Modified Korteweg-De Vries Equation in Deterministic Case and Random Case
ISSN: 2090-0902

Journal of Physical Mathematics
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Research Article Open Access

Abstract

In this paper, we present a new method, the so called Riccati-Bernoulli Sub-ODE method to construct exact traveling wave solutions of the nonlinear modified Korteweg-de Vries (mKdV) equation and also,we use this method in order to solve the nonlinear random modified Korteweg-de Vries (mKdV) equation. It has been shown that the proposed method is effective tools to in order to solve many mathematical physics problems. The travelling wave solutions of these equations are expressed by hyperbolic functions, trigonometric functions and rational functions. The impression of the random coefficient in our problem is studied, by using some distributions through some cases studies.

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Author(s): Abdelrahman MAE* and Sohaly MA

Keywords

Riccati-Bernoulli Sub-ODE method, mKdV equation, Backlund transformation, Traveling wave solutions, Solitary wave solutions, Random variable, Physical Mathematics, Axioms, Topology, Integration , Algebraic Geometry, Quantum Mechanics, mirror symmetry, Noether's theorem, Quantumelectrodynamics, Hamilton Mechanics, vector bundle, Riemannian Geometry, Theory of Mathematical Modeling, Fourier Analysis, Theoretical Physics, Analytical Geometry, Differential Equations, Complex Analysis.

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