On the korteweg-de vries equation
WebKORTEWEG-DE VRIES EQUATION JUSTIN HOLMER Abstract. We prove local well-posedness of the initial-boundary value problem for the Korteweg-de Vries equation on right half-line, left half-line, and line segment, in the low regularity setting. This is accomplished by introducing an analytic family of boundary forcing operators. Contents 1 ... WebThe Kortweg-de Vries (KdV) equation is a nonlinear partial di erential equation of third order: u t + 6uu x + u xxx = 0; (1.1) where u(x;t) denotes the elongation of the wave at …
On the korteweg-de vries equation
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WebAbstract The time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) describe various interesting real-world phenomena including wave propagation and the … Web12 de abr. de 2024 · We consider the possibility of constructing a hierarchy of the complex extension of the Korteweg–de Vries equation (cKdV), which under the assumption that …
WebThe Korteweg-de Vries (KdV) equation, given here in canonical form, u t + 6uu x + u xxx = 0 , (1) is widely recognised as a paradigm for the description of weakly nonlinear long … WebAn alternative way for the derivation of the new Korteweg-de Vries (KdV)-type equation is presented. The equation contains terms depending on the bottom topography (there are six new terms in all, three of which are caused by the unevenness of the bottom). It is obtained in the second-order perturba …
WebAbstract A method for solving the initial-value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant sufficiently rapidly … Web31 de out. de 2012 · We discuss universality in random matrix theory and in the study of Hamiltonian partial differential equations. We focus on universality of critical behavior …
Web15 de ago. de 1991 · KATO, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, in "Studies in Applied Mathematics, Advances in Mathematics Supplementary Studies," Vol. 8, Academic Press, Orlando, FL. T. KATO AND G. PONCE, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. …
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 … dgh perequationWeb13 de nov. de 2014 · In this paper, we concentrate on the numerical solution of one of the well-known equation named as Korteweg–de Vries (KdV) equation: (1) where and μ are positive parameters. The KdV equation expresses a balance between dispersion form from its third derivative term and the shock forming tendency of its nonlinear term . cibc trip insuranceWeb10 de out. de 2024 · We consider in this paper modified fractional Korteweg-de Vries and related equations (modified Burgers-Hilbert and Whitham). They have the advantage with respect to the usual fractional KdV equation to have a … cibc transit number 08009WebAbstract The time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) describe various interesting real-world phenomena including wave propagation and the description of shallow water waves o... cibc treasury managementWebWe 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 same … cibc trenton phone numberWebgroup of the Korteweg–de Vries (KdV) equation. This problem was already con-sidered in [5,17] and in [6] within the framework of the moving frame and infinites-imal approaches, respectively. Thus, on one hand it is instructive to compare and review the results available in the literature. On the other hand, we extend these cibc transit number 00810WebThe 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 … dghp housing association repairs