Results 41 to 50 of about 59,702,858 (214)
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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Numerical inverse scattering for the Korteweg–de Vries and modified Korteweg–de Vries equations [PDF]
Physica D: Nonlinear Phenomena, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Trogdon, Thomas +2 more
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Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2013 We study the integrability of mappings obtained as reductions of the discrete Korteweg–de Vries (KdV) equation and of two copies of the discrete potential KdV (pKdV) equation. We show that the mappings corresponding to the discrete KdV equation, which can be derived from the latter, are completely integrable in the Liouville–Arnold sense.
Hone, A. N. W. +3 more
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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
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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
Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain
Boundary Value Problems, 2017 In this paper, we address an inverse problem for the Korteweg-de Vries equation posed on a bounded domain with boundary conditions proposed by Colin and Ghidaglia.
Mo Chen
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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
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