Results 11 to 20 of about 22,064 (260)
Fractional System of Korteweg-De Vries Equations via Elzaki Transform
Mathematics, 2021 In this article, a hybrid technique, called the Iteration transform method, has been implemented to solve the fractional-order coupled Korteweg-de Vries (KdV) equation. In this method, the Elzaki transform and New Iteration method are combined.
Wenfeng He +4 more
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Journal of Mathematics, 2022 This article applies efficient methods, namely, modified decomposition method and new iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries equations with the Atangana–Baleanu fractional derivative.
Noufe H. Aljahdaly +4 more
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Beni-Suef University Journal of Basic and Applied Sciences, 2022 Background Experimentally brought to light by Russell and hypothetically explained by Korteweg–de Vries, the KDV equation has drawn the attention of several mathematicians and physicists because of its extreme substantial structure in describing ...
Adedapo Ismaila Alaje +4 more
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Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]
J Nonlinear Sci, 2023 We consider large-scale dynamics of non-equilibrium dense soliton gas for the Korteweg–de Vries (KdV) equation in the special “condensate” limit. We prove that in this limit the integro-differential kinetic equation for the spectral density of states ...
Congy T, El GA, Roberti G, Tovbis A.
europepmc +3 more sources
The Painlev\'e analysis for N=2 super KdV equations [PDF]
, 2001 The Painlev\'e analysis of a generic multiparameter N=2 extension of the Korteweg-de Vries equation is presented. Unusual aspects of the analysis, pertaining to the presence of two fermionic fields, are emphasized.
Bourque, S., Mathieu, P.
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Unique continuation principle for high order equations of Korteweg-de Vries type
Electronic Journal of Differential Equations, 2013 In this article we consider the problem of unique continuation for high-order equations of Korteweg-de Vries type which include the kdV hierarchy.
Pedro Isaza
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On the Dynamical Behavior of Solitary Waves for Coupled Stochastic Korteweg–De Vries Equations
Mathematics, 2023 In this paper, we take into account the coupled stochastic Korteweg–De Vries (CSKdV) equations in the Itô sense. Using the mapping method, new trigonometric, rational, hyperbolic, and elliptic stochastic solutions are obtained.
W. Mohammed +2 more
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A Novel Analytical View of Time-Fractional Korteweg-De Vries Equations via a New Integral Transform
Symmetry, 2021 We put into practice relatively new analytical techniques, the Shehu decomposition method and the Shehu iterative transform method, for solving the nonlinear fractional coupled Korteweg-de Vries (KdV) equation.
S. Rashid +5 more
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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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Some finite difference methods for solving linear fractional KdV equation
Frontiers in Applied Mathematics and Statistics, 2023 The time-fractional Korteweg de Vries equation can be viewed as a generalization of the classical KdV equation. The KdV equations can be applied in modeling tsunami propagation, coastal wave dynamics, and oceanic wave interactions.
Appanah Rao Appadu, Abey Sherif Kelil
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