Results 31 to 40 of about 62,135,588 (169)
On a Schwarzian PDE associated with the KdV hierarchy [PDF]
, 2000 We present a novel integrable non-autonomous partial differential equation of the Schwarzian type, i.e. invariant under M\"obius transformations, that is related to the Korteweg-de Vries hierarchy.
Hone, A. N. W. +8 more
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Asymptotic stability of a Korteweg–de Vries equation with a two-dimensional center manifold
Advances in Nonlinear Analysis, 2018 Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg–de Vries equation posed on a finite interval [0,2π7/3]{[0,2\pi\sqrt{7/3}]}.
Tang Shuxia +3 more
doaj +1 more source
On the discrete and continuous Miura chain associated with the sixth Painlev equation [PDF]
, 2000 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Hone, A. N. W. +8 more
core +1 more source
A Compact-Type CIP Method for General Korteweg-de Vries Equation
Abstract and Applied Analysis, 2014 We proposed a hybrid compact-CIP scheme to solve the Korteweg-de Vries equation. The algorithm is based on classical constrained interpolation profile (CIP) method, which is coupled with high-order compact scheme for the third derivatives in Korteweg-de ...
YuFeng Shi, Biao XU, Yan Guo
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Results in Physics, 2018 In this work we study the Korteweg-de Vries-Benjamin-Bona-Mahony (KdV-BBM) equation, which describes the two-way propagation of waves. Using Lie symmetry method together with Jacobi elliptic function expansion and Kudryashov methods we construct its ...
Innocent Simbanefayi +1 more
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Modulation of the Nonlinear Ion Acoustic Waves in a Weakly Relativistic Warm Plasma with Superthermally Distributed Electrons [PDF]
Alfarama Journal of Basic & Applied Sciences, 2020 In this article we investigated the modulation of nonlinear ion acoustic waves in a weakly relativistic, warm, unmagnetized and adiabatic plasma whose constitutes are ion fluid and superthermally distributed electrons using the multiple scales approach ...
Salah El-Labany +3 more
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Inference via the Skewness‐Kurtosis Set
International Statistical Review, EarlyView.Summary Kurtosis minus squared skewness is bounded from below by 1, but for unimodal distributions, this parameter is bounded by 189/125. In some applications, it is natural to compare distributions by comparing their kurtosis‐minus‐squared‐skewness parameters. The asymptotic behavior of the empirical version of this parameter is studied here for i.i.d.
Chris A. J. Klaassen, Bert van Es
wiley +1 more source
Estudo de invariantes em sistemas dinamicos continuos e não-lineares [PDF]
, 1989 Dissertação (mestrado) - Universidade Federal de Santa Catarina. Centro de Ciencias Fisicas e MatematicasNo presente trabalho investigamos vários aspectos relacionados com a existência de invariantes em sistemas dinâmicos contínuos e não-lineares ...
Fontenelle, Marcia Tiburcio
core
Nonlinear Release of Subinertial Diurnal Internal Tides Forms Spiral Internal Solitary Waves
Geophysical Research Letters, Volume 53, Issue 19, 16 October 2026.Abstract Earth's rotation imposes a dynamical barrier on the free propagation of internal tides at high latitudes, raising questions about the fate of tidal energy poleward of the critical latitude. Satellite observations reveal spiral internal solitary waves (ISWs) along the continental slope of the South Orkney Plateau.
Zenghao Jiang +5 more
wiley +1 more source
Partial Differential Equations in Applied Mathematics, 2023 This paper presents exact solutions for the fractional Korteweg–de Vries equation and the fractional modified Korteweg–de Vries equation with additional term using the functional variable method.
Bazar Babajanov, Fakhriddin Abdikarimov
doaj +1 more source