On the generalized korteweg-de vries equation

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August undefined, 2024

Webthe (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 … 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 …

Well-posedness of the generalized Korteweg-de Vries-Burgers equation …

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 … 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 + ∂ … how are capital gains taxed in north carolina

(PDF) On the generalized Korteweg-deVries equation - ResearchGate

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... 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. 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 many liters are a gallon

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

Dispersive Equations and Nonlinear Waves: Generalized Korteweg-de Vries ...

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 … 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, … how are capital gains taxed in 2023WebIn 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 are capital gains taxes

"Web1 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 … " - On the generalized korteweg-de vries equation

On the generalized korteweg-de vries equation

(PDF) Remarks on the Korteweg-de Vries equation - ResearchGate

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 … WebTravelling 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 …

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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). 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., …

WebProceedings 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) 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. …

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 …

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 ...

Web7 de fev. de 2007 · 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. how are capital gains taxed in utmaWebWe prove that the local L 2 norm of the solution of the generalized Korteweg-de Vries equation u_t + (F (u) + \sum\limits_ {s = 0}^m { ( - 1)^s D_x^ {2s} u)_x = 0,m \geqslant 2,} with nice initial datum, where F satisfies certain general conditions, for example, P (u) = u … how are capital gains taxed in new tax planWeb1 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 are capital leases accounted forWeb14 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 ... how are capital gains taxed in iraWebHá 1 dia · Find many great new & used options and get the best deals for Dispersive Equations and Nonlinear Waves: Generalized Korteweg-de Vries, Nonline at the best online prices at eBay! ... Generalized Korteweg-de Vries, Nonline at the best online prices at eBay! Skip to main content. Shop by category. Shop by category. Enter your search ... how many liters a dayWeb@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 are capital gains taxes figuredWeb28 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. how are cap rates calculated