Results 41 to 50 of about 18,045 (194)
Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley +1 more source
Advances in Mathematical Physics, 2019 The Sawada-Kotera equation with a nonvanishing boundary condition, which models the evolution of steeper waves of shorter wavelength than those depicted by the Korteweg de Vries equation, is analyzed and also the perturbed Korteweg de Vries (pKdV ...
Abdullahi Rashid Adem +3 more
doaj +1 more source
Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation [PDF]
, 2009 In this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries equation.
Johnson, Mathew A.
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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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Review of Some Modified Generalized Korteweg–De Vries–Kuramoto–Sivashinsky (mgKdV-KS) Equations
FoundationsThis paper reviews the results of existence and uniqueness of the solutions of these equations: the Korteweg–De Vries equation, the Kuramoto–Sivashinsky equation, the generalized Korteweg–De Vries–Kuramoto–Sivashinsky equation and the nonhomogeneous ...
Marie-Thérèse Aimar +1 more
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The fifth‐order Korteweg‐de Vries equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 Decomposition is applied to the 5th‐order KdV equation.
openaire +3 more sources
Engineering Reports, Volume 8, Issue 2, February 2026.This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad +3 more
wiley +1 more source
Complex solitons with real energies [PDF]
, 2016 Using Hirota’s direct method and Bäcklund transformations we construct explicit complex one and two-soliton solutions to the complex Korteweg-de Vries equation, the complex modified Korteweg-de Vries equation and the complex sine-Gordon equation. The one-
Abramowitz M +15 more
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Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
wiley +1 more source
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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