Results 21 to 30 of about 1,197 (185)
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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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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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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The solution to the q-KdV equation [PDF]
Physics Letters A, 1998 Let KdV stand for the Nth Gelfand-Dickey reduction of the KP hierarchy. The purpose of this paper is to show that any KdV solution leads effectively to a solution of the q-approximation of KdV. Two different q-KdV approximations were proposed, one by Frenkel and a variation by Khesin et al.
Adler, M., Horozov, E., van Moerbeke, P.
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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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Berry phases in the reconstructed KdV equation [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2020 We consider the KdV equation on a circle and its Lie–Poisson reconstruction, which is reminiscent of an equation of motion for fluid particles. For periodic waves, the stroboscopic reconstructed motion is governed by an iterated map whose Poincaré rotation number yields the drift velocity.
Blagoje Oblak, Gregory Kozyreff
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Exact solutions for STO and (3+1)-dimensional KdV-ZK equations using G′G2-expansion method
Results in Physics, 2017 This article deals with finding some exact solutions of nonlinear fractional differential equations (NLFDEs) by applying a relatively new method known as G′G2-expansion method.
Sadaf Bibi +4 more
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Operator splitting for the KdV equation [PDF]
Mathematics of Computation, 2010 We provide a new analytical approach to operator splitting for equations of the type u t =
Helge Holden +3 more
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ON THE THIRD ORDER SOLUTION OF KdV EQUATION BY USING HOMOTOPY PERTURBATION METHOD
Barekeng, 2023 In this research we discussed about the solution of the KdV equation using Homotopy Perturbation method. The KdV equation that describing water wave equation solved by using the mixing method between Homotopy and Perturbation method.
Mashuri Mashuri +2 more
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A Particle Method for the KdV Equation
Journal of Scientific Computing, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alina Chertock, Doron Levy
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