On the generalized korteweg-de vries equation
WebIn 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. The so-called pseudo-peakon looks like a peakon, but it is continuously differentiable everywhere and its second-order derivative goes to infinity at some point. Web15 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 …
On the generalized korteweg-de vries equation
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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 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 …
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 … 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 + ∂ …
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 ... Web11 de abr. de 2024 · The focus here is upon the generalized Korteweg–de Vries equation, \begin {aligned} u_t + u_x + \frac {1} {p} \left ( u^p \right) _x +u_ {xxx} \, = \, 0, \end …
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,+∞)).
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 … ctbc fhcWeb28 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 … earrings qvcWebthe (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 … ctbc e bankingWebWe 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 … ctb cell to bodyWebS. 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. earring sprayWeb1 de set. de 2024 · We consider the generalized Korteweg-de Vries equations {∂ t u + ∂ x (∂ x 2 u + u p) = 0 u (0) = u 0 ∈ H 1 (R) where (t, x) are elements of R × R and p > 1 is an integer. Recall that the Cauchy problem for (gKdV) is locally well-posed in H 1 ( R ) from a standard result by Kenig, Ponce and Vega [9] and that the two following quantities are … earrings qvc ukWebMasayoshi Tsutsumi, Toshio Mukasa, Parabolic regularizations for the generalized Korteweg-de Vries equation, Funkcial. Ekvac. , 14 (1971), 89–110 Google Scholar earrings plaza online