On the generalized korteweg-de vries equation

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August undefined, 2024

WebProceedings of the American Mathematical Society. Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics. ISSN 1088-6826 (online) ISSN 0002-9939 (print) 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, …

The initial-value problem for the forced Korteweg-de Vries equation ...

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 … 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 … impact writers

On the Modified Korteweg–De Vries Equation SpringerLink

WebWe show for the Korteweg-de Vries equation an existence uniqueness theorem in Sobolev spaces of arbitrary fractional order s ≧2, provided the initial data is given in the … 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 … 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 … impactws.com

On the generalized Korteweg-de Vries equation

A finite difference method for the Korteweg-de Vries and the …

WebWe show well-posedness results for the generalized Korteweg-de Vries equation with nonlinear term F (u)∂xu F ( u) ∂ x u. We assume F (u) F ( u) is a C4 C 4 function and F … 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). impact wrestling viewership this weekWeb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。某些限制被得出，它确认如此的一个方程的 integrability。在那些限制下面，一些 integrable 性质被导出，例如宽松的对和 Darboux 转变。经由 ... listview builder not scrolling flutter

"WebS. Oh, Resonant phase-shift and global smoothing of the periodic Korteweg–de Vries equation in low regularity settings, Adv. Differential Eq. 18(7–8) (2013) 633–662. Google Scholar; 30. J. Shatah, Normal forms and quadratic nonlinear Klein–Gordon equations, Comm. Pure Appl. Math. 38 (1985) 685–696. Crossref, ISI, Google Scholar; 31. V. " - On the generalized korteweg-de vries equation

On the generalized korteweg-de vries equation

AMS :: Proceedings of the American Mathematical Society

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 ... 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.

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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. 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 abr. de 1998 · Abstract. We consider a stochastic Korteweg–de Vries equation forced by a random term of white noise type. This can be a model of water waves on a fluid submitted to a random pressure. We prove existence and uniqueness of solutions in H1 ( R) in the case of additive noise and existence of martingales solutions in L2 ( R) in the case … 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

WebAbstract The time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) describe various interesting real-world phenomena including wave propagation and the … 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 …

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. …

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 … listview.builder shrinkwrap listview builder inside container flutterWebIn this letter, we propose a hierarchy of new generalized Korteweg–de Vries equations and find that the generalized Korteweg–de Vries equation has a class of pseudo-peakons. … impact wrestling women\u0027s championWebA 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. … impact wrist guard fitted skatingWeb@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. impact wsWeb(1)The L2(mass)critical nonlinear Schrödinger(cNLS for short)equation (2)The L2(mass)critical Korteweg-de Vries(cKdV for short)equation. These are special cases … impact wrestling year end awardsWebThis 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 … impact wrestling x division