Results 21 to 30 of about 3,516,005 (280)
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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Soliton molecules and novel smooth positons for the complex modified KdV equation
Applied Mathematics Letters, 2020 In this research, based on Darboux transformation, a molecule consisting of two identical soliton waves is firstly obtained by velocity resonance for modified KdV equation. And we also get molecules containing a plurality of solitons.
Zhao Zhang, Xiangyu Yang, Biao Li
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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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A novel (2+1)-dimensional integrable KdV equation with peculiar solution structures [PDF]
, 2020 The celebrated (1+1)-dimensional Korteweg de-Vries (KdV) equation and its (2+1)-dimensional extention, the Kadomtsev-Petviashvili (KP) equation, are two of the most important models in physical science. The KP hierarchy is explicitly written out by means
Sen-uye Lou
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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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N = 4 super KdV equation [PDF]
Physics Letters B, 1993 We construct $N=4$ supersymmetric KdV equation as a hamiltonian flow on the $N=4\;SU(2)$ super Virasoro algebra. The $N=4$ KdV superfield, the hamiltonian and the related Poisson structure are concisely formulated in $1D \;N=4$ harmonic superspace.
Delduc, F., Ivanov, E.
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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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