On the generalized korteweg-de vries equation

Author: oczg

August undefined, 2024

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 … 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).

(Open Access) Lax Pair and Darboux Transformation for a Variable ...

Web23 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 … 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 … high end flooring companies

Transformations for a generalized variable-coefficient Korteweg de ...

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 … 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 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. … high end florist dallas

The generalized Korteweg-de Vries equation on the half line

Global Stabilization of the Generalized Korteweg--de Vries …

WebAbstract—We prove the well-posedness of the generalized Korteweg-de Vries-Burgers equation with nonlinear dispersion and nonlinear dissipation . u t +f (u) x −δg(u xx) x −εh(u x) x =0. Contrary the linear case, the dispersion properties of the free evolution are useless and a vanishing parabolic regularization is then used. 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 ... how fast is a hellcatWebMany 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 … high end fleece lined tights and leggings

"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 … " - On the generalized korteweg-de vries equation

On the generalized korteweg-de vries equation

On the generalized Korteweg-de Vries-type equations - Project …

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 … 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 …

Did you know?

Web25 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 Web24 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

WebThis paper is concerned with the controllability of the linear Korteweg–de Vries equation on the domain Ω = (0,+∞), the control being applied at the left endpoint x = 0. It is shown that the exact boundary controllability holds true in L2(0,+∞) provided that the solutions are not required to be in L∞(0, T, L2(0,+∞)). Web1 de mai. de 1990 · Abstract. We study the longtime stability of small solutions to the IVP for the generalized Korteweg-de Vries equation. We obtain a lower bound for the degrees of nonlinearity of the perturbation which guarantees that the small solutions of the nonlinear problem behave asymptotically like the solutions of the associated linear problem.

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. 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. …

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, …

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 … high end florist san franciscoWebAbstract The time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) describe various interesting real-world phenomena including wave propagation and the … how fast is a hertzWebMasayoshi Tsutsumi, Toshio Mukasa, Parabolic regularizations for the generalized Korteweg-de Vries equation, Funkcial. Ekvac. , 14 (1971), 89–110 Google Scholar how fast is a great white shark\u0027s top speedWeb(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 … how fast is a gunWeb1 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 … how fast is a grey wolfWebWith the inhomogeneities of media taken into account, under investigation is hereby a generalized variable-coefficient forced Korteweg-de Vries (vc-fKdV) equation, which … high end floral designWeb17 de fev. de 2012 · Abstract. This paper is concerned with the internal stabilization of the generalized Korteweg--de Vries equation on a bounded domain. The global well … how fast is a greyhound dog