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Effect of Coriolis constant on Geophysical Korteweg-de Vries equation
Journal of Ocean Engineering and Science, 2019 The present article investigates the effect of Coriolis constant on the solution of the Geophysical Korteweg-de Vries (gKdV) equation. As such, the Homotopy Perturbation Method (HPM) has been applied here for solving the nonlinear gKdV equation.
P. Karunakar, S. Chakraverty
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Weak damping for the Korteweg-de Vries equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2021 For more than 20 years, the Korteweg–de Vries equation has been intensively explored from the mathematical point of view. Regarding control theory, when adding an internal force term in this equation, it is well known that the Korteweg–de Vries equation ...
Roberto de A. Capistrano Filho
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Classical Solutions for the Generalized Korteweg-de Vries Equation
Axioms, 2023 The Korteweg-de Vries equation models the formation of solitary waves in the context of shallow water in a channel. In our system, f or p=2 and p=3 (Korteweg-de Vries equations (KdV)) and (modified Korteweg-de Vries (mKdV) respectively), these equations ...
Svetlin Georgiev +3 more
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Abundant different types of soliton solutions for fractional modified KdV equation using auxiliary equation method [PDF]
Scientific ReportsThis research focuses on investigating soliton solutions for the space-time fractional modified third-order Korteweg-de Vries equation using the auxiliary equation method. The Korteweg-de Vries equation is renowned for its application in modeling shallow-
Akhtar Hussain +5 more
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Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we characterize all traveling wave solutions of the Generalized Korteweg–de Vries–Burgers equation. In particular we recover the traveling wave solutions for the well-known Korteweg–de Vries–Burgers equation.
Claudia Valls
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Results in Applied MathematicsIn this paper we investigate the fractional modified Korteweg de Vries-sine-Gordon equation and show the inverse scattering transform method can also be used to obtain soliton solutions of fractional modified Korteweg de Vries-sine-Gordon equation. It is
Bazar Babajanov, Fakhriddin Abdikarimov
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Informatika, 2017 The results of computer simulation N-soliton solutions of the Korteweg – de Vries equation with N = 1, 2, 3, 4 are shown. Using numerical experiment the property of conservation of area under the envelope of soliton solutions of the Korteweg – de Vries ...
Y. F. Novik
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New approach for solving of Extended KdV Equation [PDF]
Alfarama Journal of Basic & Applied Sciences, 2023 the extended Korteweg de-Vries equation which includes nonlinear and dispersive terms cubic in the wave amplitude is derived from the water wave equations and the Lagrangian for the water wave equations.
Motaz Ramadan, Hayah Aly
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Open Mathematics, 2022 In this paper, we study the initial boundary problem of fifth-order Korteweg-de Vries equation with nonlinear boundary values. First, we establish a so-called sharp boundary trace regularity associated with the linearized fifth-order Korteweg-de Vries ...
Zhao Xiangqing +2 more
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Results in Physics, 2023 This article mainly studies the new traveling wave solutions of the stochastic modified Korteweg–de Vries equation with multiplicative noise. The traveling wave solutions in the form of hyperbolic function, trigonometric function, rational function and ...
Da Shi, Zhao Li, Tianyong Han
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