On the generalized korteweg-de vries equation

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August undefined, 2024

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 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 …

Finite point blowup for the critical generalized Korteweg-de Vries equation

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,+∞)). WebAbstract 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... how do ge dishwashers rate

Petrov–Galerkin approximation of time-fractional coupled …

Web28 de out. de 2003 · With extensive use of the nonlinear transformations presented in Paper I of the series, a variety of conservation laws and constants of motion are derived for the Korteweg‐de Vries and related equations. A striking connection with the Sturm‐Liouville eigenvalue problem is exploited. 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. Web17 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 much is hocus pocus 2

Non dispersive solutions of the generalized Korteweg-de Vries equations ...

The Cauchy problem for the generalized Korteweg-de-Vries equation

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 … 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 ... how much is hofstra universityWeb@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. how do gear reductions work

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

On the generalized korteweg-de vries equation

The Korteweg-de Vries Equation: History, exact Solutions, and …

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 … 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 …

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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 …

WebExistence, uniqueness, and continuous dependence on the initial data are proved for the local (in time) solution of the (generalized) Korteweg-de Vries equation on the real line, … 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 …

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 … 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 …

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

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 … how do gears work gcseWeb10 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, … how do ge washers and dryers rateWebProceedings 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) how do gdp and real gdp differWeb15 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 … how much is hole in one insuranceWeb1 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 … how do gears on a bike workWebIn 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 + ∂ … how much is holiday overtimeWebWe 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 … how much is hold luggage british airways