On the generalized korteweg-de vries equation

Author: difs

August undefined, 2024

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 … WebKorteweg–De Vries equation. Cnoidal wave solution to the Korteweg–De Vries equation, in terms of the square of the Jacobi elliptic function cn (and with value of the parameter …

Remarks on the Korteweg-de Vries equation SpringerLink

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 … WebThe Korteweg–de Vries equation \\[ u_t + uu_x + u_{xxx} = 0\\] is a nonlinear partial differential equation arising in the study of a number of different physical systems, e.g., … little american falls effie mn

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

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. 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 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 … little america motel wyoming

Remarks on the Korteweg-de Vries equation SpringerLink

ON THE EXPONENTIAL DECAY OF THE CRITICAL GENERALIZED KORTEWEG-DE VRIES ...

WebThe 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 … 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 … little america richard e byrdWeb@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. little america resort cheyenne

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

On the generalized korteweg-de vries equation

Control and Stabilization of the Korteweg-de Vries Equation on a ...

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 ... Web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 ...

Did you know?

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 … Web28 de nov. de 2001 · Abstract: The initial-boundary value problem for the generalized Korteweg-de Vries equation on a half-line is studied by adapting the initial value …

Web1 de set. de 2006 · We consider the local and global Cauchy problem for the generalized Korteweg-de Vries equation, with initial data in homogeneous and nonhomogeneous Besov spaces. This allows us to slightly extend known results on this problem. Furthermore we prove existence and uniqueness of self-similar solutions. 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).

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. … 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, …

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 ...

WebIn this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries (gKdV) equation little america restaurants salt lake cityWeb25 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 little america slc thanksgiving dinnerWeb17 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 … little america rock springs wyWebTravelling waves as solutions to the Korteweg-de Vries equation (KdV) which is a non-linear Partial Differential Equation (PDE) of third order have been of some interest … little america salt lake city official siteWeb6 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. … little america salt lake city diningWebWith the inhomogeneities of media taken into account, under investigation is hereby a generalized variable-coefficient forced Korteweg-de Vries (vc-fKdV) equation, which … little america salt lake city restaurantWeb14 de nov. de 2011 · The initial-value problem for the Korteweg-de Vries equation with a forcing term has recently gained prominence as a model for a number of interesting physical ... Analyticity of Solutions of the Generalized Korteweg–de Vries Equation with Respect to Their Initial Values. SIAM Journal on Mathematical Analysis, Vol. 26, Issue. 6, p ... little america wendover