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Generalizations of the camassa-holm equation

WebMay 21, 2024 · We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the solution itself.

Integrable invariant Sobolev metrics on the Abelian extension …

WebMay 27, 2005 · We consider a generalization of the Camassa–Holm (CH) equation with two dependent variables, called CH2, introduced in a paper by Liu and Zhang (Liu S-Q … WebRecent generalizations of the Camassa–Holm equation are studied from the point of view of existence of global solutions, criteria for wave breaking phenomena and integrability. city news gas prices toronto https://chrisandroy.com

Wave Breaking for the Rotational Camassa–Holm Equation on ... - Hindawi

WebEquations of the Camassa-Holm hierarchy. Rossen Ivanov. 2009, Theoretical and Mathematical Physics ... WebFeb 8, 2024 · Abstract. In this paper, we consider the rotational Camassa–Holm equation on the circle. Sufficient conditions on the initial data to guarantee wave breaking are established. 1. Introduction. Recently, a rotational Camassa–Holm equation was proposed in [ 1 – 4 ], which reads as with where is a parameter related to the Coriolis effect. Webalso derive a new two-component generalization of the Camassa-Holm equation. The system obtained appears to be unique bi-Hamiltonian flow on the coadiont obrit of … city news gas toronto

Existence of peakons for a cubic generalization of the Camassa …

Category:Equations of the Camassa-Holm hierarchy - Academia.edu

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Generalizations of the camassa-holm equation

ORBITAL STABILITY OF PEAKONS FOR A GENERALIZATION …

WebAug 8, 2024 · Two-dimensional integrable generalization of the modified Camassa-Holm equation Authors: Hongmin Li National Huaqiao University Nianhua Li National Huaqiao University Abstract With the aid of... WebFalqui [8]. This generalization, similarly to the Camassa - Holm equation, is the first negative flow of the AKNS hierarchy and possesses the peakon and multi - kink …

Generalizations of the camassa-holm equation

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WebAug 14, 2014 · The orbital stability of the peaked solitary-wave solutions for a generalization of the modified Camassa–Holm equation with both cubic and quadratic … WebApr 9, 2024 · 4月14日-物理学科云端学术报告（陈晓敏博士，北京工业大学）. 【报告摘要】In this talk, I will introduce the nonisospectral generalizations of the first and the second flows of Camassa-Holm hierarchy based on some classic determinant techniques. We also present their multipeakon solutions expressed explicitly in ...

WebMay 13, 2009 · Generalisations of the Camassa-Holm equation. We classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. … Webof (1.1) as a geodesic equation readily generalizes to n spatial dimensions and pro-duces higher-dimensional incompressible analogues of the Camassa-Holm equation (Holm et al. 1998). The viscous three-dimensional generalization of (1.1) can be used as the basis for a turbulence closure model (Chen et al. 1999) and was considered

WebJan 6, 2006 · An explicit reciprocal transformation between a two-component generalization of the Camassa–Holm equation, called the 2-CH system, and the first negative flow of … WebNov 14, 2024 · Abstract: In this paper, we study the following generalized Camassa-Holm equation with both cubic and quadratic nonlinearities: $$ …

WebMay 13, 2009 · Generalisations of the Camassa-Holm equation Vladimir Novikov We classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. We show that the obtained equations can be treated as negative flows of integrable quasi-linear scalar evolution equations of orders 2, 3 and 5.

WebFeb 10, 2016 · A classification of integrable two-component systems of non-evolutionary partial differential equations that are analogous to the Camassa-Holm equation is carried out via the perturbative symmetry … citynews hires lisa laflammeWebRecent generalizations of the Camassa–Holm equation are studied from the point of view of existence of global solutions, criteria for wave breaking phenomena and integrability. … city news hires lisa laflammeWebAug 6, 2009 · The Camassa-Holm equation possesses an infinite hierarchy of loc al higher symmetries and the first non- trivial local symmetry is u … citynews gh