On the generalized korteweg-de vries equation
Web7 de fev. de 2007 · The initial-boundary value problem for the generalized Korteweg–de Vries equation on a half-line is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain to the initial-boundary setting. The approach consists of replacing the initial-boundary problem by a forced initial value problem. WebThe generalized Korteweg-de Vries equation (KdV) is given by where p is a positive parameter. Formulated in the moving frame ξ = x - ct, the generalized Korteweg-de …
On the generalized korteweg-de vries equation
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Web6 de abr. de 1998 · T.R. Taha, M J Ablowltz, Analytical and numerical aspects of certain nonlinear evolution equations Part 3 Numerical Korteweg-de Vries equation, J. … WebA note on the quartic generalized Korteweg-de Vries equation in weighted Sobolev spaces . × Close Log In. Log in with Facebook Log in with Google. or. Email. Password. Remember me on this computer. or reset password. Enter the email address you signed up with and we'll email you a reset ...
WebWe prove that the local L 2 norm of the solution of the generalized Korteweg-de Vries equation u_t + (F (u) + \sum\limits_ {s = 0}^m { ( - 1)^s D_x^ {2s} u)_x = 0,m \geqslant 2,} with nice initial datum, where F satisfies certain general conditions, for example, P (u) = u … Web5 de nov. de 1996 · Recent numerical simulations of the generalized Korteweg—de Vries equation u t + u p u x + u xxx = 0 indicate that for p⩾4, smooth solutions of the initial-value problem may form singularities in finite time. It is the purpose of this paper to ascertain what effect dissipation has on the instability of solitary waves and the associated blow-up …
WebAbstract The time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) describe various interesting real-world phenomena including wave propagation and the … WebThe Korteweg–de Vries equation \\[ u_t + uu_x + u_{xxx} = 0\\] is a nonlinear partial differential equation arising in the study of a number of different physical systems, e.g., …
Web31 de dez. de 2010 · Numerical Study of breakup in generalized Korteweg-de Vries and Kawahara equations. B. Dubrovin, T. Grava, C. Klein. This article is concerned with a …
Web7 de abr. de 2024 · Find many great new & used options and get the best deals for Dispersive Equations and Nonlinear Waves: Generalized Korteweg-de Vries, at the best online prices at eBay! Dispersive Equations and Nonlinear Waves: Generalized Korteweg-de Vries, 9783034807357 eBay each time i fall in loveWebTravelling waves as solutions to the Korteweg-de Vries equation (KdV) which is a non-linear Partial Differential Equation (PDE) of third order have been of some interest … each time songWeb15 de ago. de 1991 · KORTEWEG-DE VRIES EQUATION 97 4. PROOF OF THEOREM 1 (A) The point of departure is the integral equation (see also (1.10)) u (t}=S (t)g+ [' S (t … each time single voxWebThis paper proposes a new class of arbitrarily high-order conservative numerical schemes for the generalized Korteweg--de Vries (KdV) equation. This approach is based on the scalar auxiliary variable method. The equation is reformulated into an equivalent system by introducing a scalar auxiliary variable, and the energy is reformulated into a sum of two … c sharp bucle forWebMany physical phenomena in fields of studies such as optical fibre, solid-state physics, quantum field theory and so on are represented using nonlinear evolution equations … each time taminoWeb28 de nov. de 2001 · Abstract: The initial-boundary value problem for the generalized Korteweg-de Vries equation on a half-line is studied by adapting the initial value … csharp breakpointWebThe above equation is a generalization of the well-known Korteweg-de Vries equation, i.e. u t +u xxx +uu x =0. When a ≡ 0 the equation in (1.1) considered in the real line is called critical for various reasons. For instance, if u is a solution of the initial value problem associated to the equation in (1.1) with a ≡ 0, then u λ(x,t)=λ1 ... each time s v