On whitham equations for camassa-holm
Web5 de nov. de 2024 · More specifically, we will now focus on the Cauchy problem for the periodic higher-order Camassa–Holm equations, i.e.(1.3){mt+(u2−ux2)p−1uxm+(u(u2−ux2)p−1m)x=0,t>0,x∈S,u(0,x)=u0(x),x∈S,where S=R/Z=[0,1)is the unit circle, and aim to leverage ideas from our previous work to further … Web1 de mar. de 2006 · On Whitham Equations for Camassa-Holm Abenda, S. Grava, T. Klein, C. Abstract The solution of the Cauchy problem for the Camassa-Holm equation …
On whitham equations for camassa-holm
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Web1 de mar. de 2006 · In this paper, we present some preliminary work in the direction of numerically compare the solution to the Cauchy problem of the Camassa-Holm … Web5 de out. de 2024 · It is interesting that the FW equation does not only allow traveling wave solutions like the KdV equation, but also possess peakon solutions [11] as some Camassa–Holm type equations. However, the FW equation is not integrable [20] and there is no useful conservation laws which would be used to make estimates of solutions, …
WebtopWe derive the modulation equations (Whitham equations) for the Camassa-Holm (CH) equation. We show that the modulation equations are hyperbolic and admit a bi-Hamiltonian structure. Furthermore they are connected by a reciprocal transformation to the WebCamassa–Holm equation small dispersion limit Whitham equations Painlevé transcendents multiple scale analysis Next article Figures References Cited by Details …
WebThe Camassa-Holm equation has a number of constants of motion arising as eigen-values of an associated spectral problem. We give a description of the spectral picture and … Web13 de fev. de 2024 · The aim of this paper is to analyze the water waves problem for uneven bottom under the influence of surface tension. For that, we consider an asymptotic model of the 1D Green-Naghdi equations in Camassa-Holm scale and derive in a formal way by using the Whitham technique the Camassa-Holm equation under the influence of …
WebWe study the generalized Camassa-Holm equation which contains the Camassa-Holm (CH) equation and Novikov equation as special cases with the periodic boundary condition. We get a blow-up scenario and obtain the global existence of strong and weak solutions under suitable assumptions, respectively. Then, we construct the periodic peaked …
WebA numerical study of this limit for smooth hump-like initial data provides strong evidence for the validity of the conjecture that the phase of the asymptotic solution of the Camassa–Holm equation depends on the physical coordinates via the Whitham equations. Expand 3 PDF Save Alert dickey\u0027s universityWeb2 de mai. de 2007 · We survey some topics involving the Whitham equations, concentrating on the role of ψψ ∗ (or square eigenfunctions) in averaging, where ψ is the … dickey\\u0027s websiteWeb1 de jan. de 2010 · We study the Whitham equations for the Camassa–Holm equation. The equations are neither strictly hyperbolic nor genuinely nonlinear. We are interested … dickey\u0027s tyler txWeb开馆时间：周一至周日7:00-22:30 周五 7:00-12:00; 我的图书馆 citizenship 2021 questionsWebWe apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Camassa–Holm equation for decaying initial data, completing previous results by Boutet de Monvel and Shepelsky. dickey\\u0027s tyler txWeb15 de nov. de 2007 · These Whitham equations are quasilinear hyperbolic equations and they describe the averaged dynamics of the rapid oscillations which appear in the … dickey\u0027s upholsteryWeb2 de ago. de 2024 · In this paper, we prove that classical symmetric solutions to the rotation-Camassa–Holm equation must be traveling wave solutions. We discover how the … citizenship 2020 test