On the generalized korteweg-de vries equation
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 … WebThe 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 ...
On the generalized korteweg-de vries equation
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Web28 de nov. de 2001 · 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. The … WebIn 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 + ∂ …
WebMasayoshi Tsutsumi, Toshio Mukasa, Parabolic regularizations for the generalized Korteweg-de Vries equation, Funkcial. Ekvac. , 14 (1971), 89–110 Google Scholar Web1 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 …
Web1 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 … 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 …
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 …
Web@article{osti_5711174, title = {On the Korteweg-de Vries equations}, author = {Ramirez, R and Sadovskaia, N and Avis, R L}, abstractNote = {The modern focus of Hamiltonian formalism takes as a fundamental aspect of its approach the Poisson bracket. Let C{sup {infinity}}(M) be the ring of all infinitely differentiable functions in a certain manifold M. dial-4 screeningWeb31 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 … dial-4 training videoWeb28 de dez. de 2001 · 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 ... dial 4 screening formsWeb23 de set. de 2015 · Generalized Korteweg-De Vries Equation JlGUANG BAG & YlFEI WU ABSTRACT. In this paper, we show the global well-posedness for periodic gKdV equations in the space HS(J), s > \ for the quartic case, and s > for the quintic case. These improve the previous results of Colliander et al. in 2004. In particular, the result is sharp … dial 32 ounce refillWebOn 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 … cinnamon stick health benefitsWeb25 de nov. de 2024 · The non-linear time-fractional Korteweg-de Vries and modified Korteweg-de Vries equations are studied with Caputo's fractional derivative. The general ... the higher-order localized waves for the coupled mixed derivative nonlinear Schrödinger equation are investigated using generalized Darboux transformation. On the basis of seed dial4travel companies houseWeb15 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 … cinnamon stick honey cream spread