Results 11 to 20 of about 23,327 (208)
Four Symmetries of the KdV Equation
Journal of Nonlinear Science, 2022 22 ...
Alexander G. Rasin, Jeremy Schiff
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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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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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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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Operator splitting for the KdV equation [PDF]
Mathematics of Computation, 2011 We provide a new analytical approach to operator splitting for equations of the type $u_t=Au+B(u)$ where $A$ is a linear operator and $B$ is quadratic. A particular example is the Korteweg-de Vries (KdV) equation $u_t-u u_x+u_{xxx}=0$. We show that the Godunov and Strang splitting methods converge with the expected rates if the initial data are ...
Helge Holden +3 more
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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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On the orbital stability of Gaussian solitary waves in the log-KdV equation
, 2014 We consider the logarithmic Korteweg-de Vries (log-KdV) equation, which models solitary waves in anharmonic chains with Hertzian interaction forces. By using an approximating sequence of global solutions of the regularized generalized KdV equation in $H ...
Carles, Remi, Pelinovsky, Dmitry
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Dynamical properties of dust-ion-acoustic wave solutions in a nonextensive collisional dusty plasma
Journal of Taibah University for Science, 2021 Dynamical properties of dust-ion-acoustic waves (DIAWs) are analysed in a collisional nonextensive dusty plasma composing of mobile ions, q-nonextensive electrons and stationary dust grains with slight collisions between dusts and ions.
Puja Sharma +3 more
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