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. WebMany 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 with variable coefficients due to the fact that the majority of nonlinear conditions involve variable coefficients. In consequence, this article presents a complete Lie group analysis of a …

Dispersive Equations and Nonlinear Waves: Generalized Korteweg-de Vries ...

WebIn the last twenty years, there have been significant advances in the study of the blow-up phenomenon for the critical generalized Korteweg-de Vries equation, including the determination of sufficient conditions for blowup, the stability of blowup in a refined topology and the classification of minimal mass blowup. Exotic blow-up solutions with a continuum … Web28 de fev. de 1984 · GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION. Mathematics of the USSR-Sbornik , Volume 48 , Number 2 Citation S N Kruzhkov and A V Faminskiĭ 1984 Math. USSR Sb. 48 391 DOI 10.1070/SM1984v048n02ABEH002682. slow fire burning paula hawkins https://soterioncorp.com

Lie Group Classification of Generalized Variable Coefficient …

Web9 de jul. de 2006 · It is similar to a previous observation by Christ,Colliander and Tao in [8] that the solutions to Korteweg-de Vries equations (KdV) or modified KdV at high … WebOn the generalized Korteweg-de Vries equation, Differential Integral Equations 10 (1997), 777–796. Google Scholar Strauss, W. A.: Dispersion of low-energy waves for two … WebDecember 1989 On the (generalized) Korteweg-de Vries equation Carlos E. Kenig , Gustavo Ponce , Luis Vega Duke Math. J. 59(3): 585-610 (December 1989). slow fire ceramics

The Cauchy problem for the generalized Korteweg-de-Vries equation

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On the generalized korteweg-de vries equation

An integrable generalized Korteweg–de Vries equation with …

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 … Web28 de out. de 2003 · With extensive use of the nonlinear transformations presented in Paper I of the series, a variety of conservation laws and constants of motion are derived for the Korteweg‐de Vries and related equations. A striking connection with the Sturm‐Liouville eigenvalue problem is exploited.

On the generalized korteweg-de vries equation

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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 … WebThis 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 …

Web在这篇论文，我们把我们的焦点放在一个可变系数的第五顺序的 Korteweg-de Vries (fKdV ) 方程上，它拥有很多优秀性质并且具有物理、工程的领域里的当前的重要性。某些限制 … Web15 de abr. de 1995 · Hasan A and Foss B (2011) Global Stabilization of The Generalized Burgers-Korteweg-de Vries Equation by Boundary Control, IFAC Proceedings …

Web10 de abr. de 2024 · Illuminating examples of coupled nonlinear Schrödinger equations and coupled modified Korteweg–de Vries equations are worked out. Next Article ... A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations. Phys. Lett. A 1999, 255, 259–264. [Google Scholar] Zhu, X.M.; Zhang, … 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 …

Webthe (slightly generalized) KdV equation (i.i) u t § Uxx x + a(u)u x = 0, t ~ 0, -= < x < =, (1.2) u(0,x) = g(x). Here all functions are real-valued, and a is assumed to be C ~ (though we …

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 … slow fire burning plotWebMasayoshi Tsutsumi, Toshio Mukasa, Parabolic regularizations for the generalized Korteweg-de Vries equation, Funkcial. Ekvac. , 14 (1971), 89–110 Google Scholar slow fire pistolWebIn mathematics, a generalized Korteweg–De Vries equation (Masayoshi Tsutsumi, Toshio Mukasa & Riichi Iino 1970) is the nonlinear partial differential equation ∂ t u + ∂ x 3 u + ∂ … slow fire burning spoilersWeb1 de jan. de 1970 · Inspired by the recent successful completion of the study of the well-posedness theory for the Cauchy problem of the Korteweg-de Vries (KdV) equation … software for mac video editingWebThe 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., … software for maid servicesWeb1 de mar. de 1976 · Abstract. We show for the Korteweg-de Vries equation an existence uniqueness theorem in Sobolev spaces of arbitrary fractional orders≧2, provided the … slow fire burning by paula hawkinsWeb24 de jul. de 2006 · DOI: 10.1016/J.PHYSLETA.2006.03.080 Corpus ID: 120358134; Transformations for a generalized variable-coefficient Korteweg de Vries model from blood vessels, Bose Einstein condensates, rods and positons with symbolic computation slow first