Camassa–holm
WebIn this paper, we provide a blow-up mechanism to the modified Camassa-Holm equation with varying linear dispersion. We first consider the case when linear dispersion is absent … Web. We present a blow-up criterion for the periodic Camassa-Holm equation. The condition obtained for blow-up uses two of the conservation laws associated with the equation and improves upon some recent results.
Camassa–holm
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Web12 Apr 2024 · The rotation-two-component Camassa--Holm system, which possesses strongly nonlinear coupled terms and high-order differential terms, tends to have continuous nonsmooth solitary wave solutions, such as peakons, stumpons, composite waves and even chaotic waves. In this paper an accurate semi-discrete conservative difference scheme … Web8 Feb 2024 · Another highly related model is the well-known Camassa–Holm equation [ 13] . This equation has a physical background with shallow water propagation. The Camassa–Holm equation [ 14, 15] has infinitely many conservation laws. In [ 16, 17 ], they established the local well-posedness. Wave breaking phenomena were widely studied in …
WebFinally, the Calogero-Fran¸coise (CF) integrable system is a finite-dimensional Hamiltonian system that arises as a generalization of the Camassa Holm (CH) dynamics. In this thesis, we show that the dynamics of Euler’s equations and the CF system can be perceived by realizing both systems as twisted Hitchin systems. WebAbout ten years ago, Rosenau, , introduced a class of solitary waves with compact support as solutions of certain wave equations with nonlinear dispersion. It was found that the s
Web12 Apr 2024 · The rotation-two-component Camassa--Holm system, which possesses strongly nonlinear coupled terms and high-order differential terms, tends to have continuous nonsmooth solitary wave solutions, such as peakons, stumpons, composite waves and even chaotic waves. In this paper an accurate semi-discrete conservative difference scheme … WebTHE CAMASSA-HOLM AND WHITHAM EQUATIONS AND MULTISCALE EXPANSIONS S. ABENDA∗, T.GRAVA†, AND C. KLEIN‡ Abstract. The small dispersion limit of solutions to the Camassa-Holm (CH) equation is characterized by the appearance of a zone of rapid modulated oscillations. An asymptotic description
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WebCamassa-Holm flow (see Camassa & Holm 1993). Equation (1.1) can be considered in the class of spatially periodic functions or in the class of functions on the line decaying at infinity. Accordingly, the isospectral problem (1.2) is a periodic weighted Sturm-Liouville problem or a weighted spectral problem in L2(R). hyperglycemia definition biologyWeb16 Aug 2024 · The rotation-Camassa–Holm equation contains the famous Camassa–Holm equation and is a special case of the generalized Camassa–Holm equation. By using the … hyperglycemia depressionWebThe paper aims at developing the Riemann–Hilbert (RH) approach for the modified Camassa–Holm (mCH) equation on the line with non-zero boundary conditions, in the case when the solution is assumed to approach two different constants at different sides of the line. We present detailed properties of spectral functions associated with the ... hyperglycemia dehydrationWebWe prove a Liouville property for uniformly almost localized (up to translations) -global solutions of the Camassa-Holm equation with a momentum density that is a non negative finite measure. More precisely, we show th… hyperglycemia definition a1chttp://export.arxiv.org/pdf/math/0001054v1 hyperglycemia diabetes type 1WebCAMASSA-HOLM CUSPONS, SOLITONS AND THEIR INTERACTIONS VIA THE DRESSING METHOD ROSSEN IVANOV, TONY LYONS, AND NIGEL ORR Abstract. A … hyperglycemia dangerous levelsWeb12 Apr 2024 · The rotation-two-component Camassa--Holm system, which possesses strongly nonlinear coupled terms and high-order differential terms, tends to have … hyperglycemia definition ada