Results 11 to 20 of about 23,042 (190)
Exact Traveling Waves of a Generalized Scale-Invariant Analogue of the Korteweg–de Vries Equation
Mathematics, 2022 In this paper, we study a generalized scale-invariant analogue of the well-known Korteweg–de Vries (KdV) equation. This generalized equation can be thought of as a bridge between the KdV equation and the SIdV equation that was discovered recently, and ...
Lewa’ Alzaleq +2 more
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New numerical solutions of fractional-order Korteweg-de Vries equation
Results in Physics, 2020 We present new solutions of fractional-order Korteweg-de Vries (KdV) equation by employing a method that utilizes advantages of both techniques of fictititous time integration and group preserving.
Mustafa Inc +3 more
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Single-Soliton Solution of KdV Equation via Hirota’s Direct Method under the Time Scale Framework
Advances in Mathematical Physics, 2022 Hirota’s direct method is one significant way to obtain solutions of soliton equations, but it is rarely studied under the time scale framework. In this paper, the generalized KdV equation on time-space scale is deduced from one newly constructed Lax ...
Yuan Kong +6 more
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The N-soliton molecule for the combined (2N+1)th-order Lax’s KdV equation
Results in Physics, 2020 Using the Hirota’s bilinear method combined with the velocity resonance mechanism, the two-soliton molecule, the three-soliton molecule and the four-soliton molecule for the third-fifth-order Lax’s KdV equation, the third-fifth-seventh-order Lax’s KdV ...
Xueping Cheng +4 more
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A survey of KdV-CDG equations via nonsingular fractional operators
AIMS Mathematics, 2023 In this article, the Korteweg-de Vries-Caudrey-Dodd-Gibbon (KdV-CDG) equation is explored via a fractional operator. A nonlocal differential operator with a nonsingular kernel is used to study the KdV-CDG equation.
Ihsan Ullah +4 more
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Supersymmetric quantum mechanics and the Korteweg-de Vries hierarchy [PDF]
, 1993 The connection between supersymmetric quantum mechanics and the Korteweg- de Vries (KdV) equation is discussed, with particular emphasis on the KdV conservation laws.
Grant, Aaron K., Rosner, Jonathan L.
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Bosonization of supersymmetric KdV equation [PDF]
Physics Letters B, 2012 Bosonization approach to the classical supersymmetric systems is presented. By introducing the multi-fermionic parameters in the expansions of the superfields, the $\mathcal {N}=1$ supersymmetric KdV (sKdV) equations are transformed to a system of coupled bosonic equations. The method can be applied to any fermionic systems.
Gao, Xiao Nan, Lou, S. Y.
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Communications in Analysis and Mechanics, 2023 This article mainly uses two methods of solving the conservation laws of two partial differential equations and a system of equations. The first method is to construct the conservation law directly and the second method is to apply the Ibragimov method ...
Long Ju, Jian Zhou, Yufeng Zhang
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Numerical study of a Whitham equation exhibiting both breaking waves and continuous solutions
AIP Advances, 2021 We consider a Whitham equation as an alternative for the Korteweg–de Vries (KdV) equation in which the third derivative is replaced by the integral of a kernel, i.e., ηxxx in the KdV equation is replaced by ∫−∞∞Kν(x−ξ)ηξ(ξ,t)dξ.
Michael P. Mortell, Kieran F. Mulchrone
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Four Symmetries of the KdV Equation
Journal of Nonlinear Science, 2022 22 ...
Alexander G. Rasin, Jeremy Schiff
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