Results 1 to 10 of about 59,617,543 (217)
Traveling Wave Solutions of Fractional Differential Equations Arising in Warm Plasma
مجلة بغداد للعلوم, 2023 This paper aims to study the fractional differential systems arising in warm plasma, which exhibits traveling wave-type solutions. Time-fractional Korteweg-De Vries (KdV) and time-fractional Kawahara equations are used to analyze cold collision-free ...
Krishna Ghode +2 more
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Electronic Journal of Differential Equations, 2003 We present a new method for studying the interaction of solitons for non-integrable Korteweg-de Vries (KdV) type equations with small dispersion and test this method for the KdV equation.
Vladimir G. Danilov +1 more
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On abundant new solutions of two fractional complex models
Advances in Difference Equations, 2020 We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation).
Mostafa M. A. Khater, Dumitru Baleanu
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The solution of fractional-order system of KdV equations with exponential-decay kernel
Results in Physics, 2022 This study uses efficient techniques to evaluate a non-linear system of Korteweg–de Vries (KdV) equations with fractional Caputo Fabrizio derivative, including the modified decomposition approach and the novel iterative transform method.
Mohammad Alshammari +3 more
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White-Noise-Driven KdV-Type Boussinesq System
MathematicsThe white-noise-driven KdV-type Boussinesq system is a class of stochastic partial differential equations (SPDEs) that describe nonlinear wave propagation under the influence of random noise—specifically white noise—and generalize features from both the ...
Aissa Boukarou +4 more
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Parameter Estimation for Stochastic Korteweg–de Vries Equations
AxiomsIn this paper, we propose two methods for parameter estimation in stochastic Korteweg–de Vries (KdV) equations with unknown parameters. Both methods are based on the numerical discretization of the stochastic KdV equation. Moreover, we further propose an
Zhenyu Lang +3 more
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ANALYTICAL SOLUTION OF KORTEWEG-DE VRIES EQUATION (KdV) BY LAPLACE DECOMPOSITION METHOD
, 2021 The target of this paper is to apply a Laplace decomposition method (LDM) to obtain analytical solution of KdV equation and to discuss the efficiency of the solution of KdV equation obtained by the LDM compared with the exact solution. As a result, the explicit solution to a generalized Korteweg–de Vries equation (KdV for short) with initial condition ...
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Error estimates for a physics-informed neural network in solving KdV equations
Machine Learning: Science and TechnologyThis paper aims to provide error bounds on physics-informed neural network (PINN) in solving Korteweg–de Vries (KdV) equations. We prove that a neural network equipped with two hidden layers and the tanh activation function can reduce the partial ...
Jia Guo, Ziyuan Liu, Chenping Hou
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the Solving Partial Differential Equations by using Efficient Hybrid Transform Iterative Method
Tikrit Journal of Pure ScienceThe aim of this article is to propose an efficient hybrid transform iteration method that combines the homotopy perturbation approach, the variational iteration method, and the Aboodh transform forsolving various partial differential equations.
Ruaa Shawqi Ismael +2 more
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Open Physics, 2021 In this article, a generalized Hirota–Satsuma coupled Korteweg–de Vries (KdV) system is investigated from the group standpoint. This system represents an interplay of long waves with distinct dispersion correlations.
Khalique Chaudry Masood
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