Generalizations of the camassa-holm equation
WebJul 2, 2024 · [24] Liu X C, Liu Y, Olver P J and Qu C Z 2014 Orbital stability of peakons for a generalization of the modified Camassa–Holm equation Nonlinearity 27 2297–319. Crossref Google Scholar [25] Liu X C, Liu Y and Qu C Z 2015 Orbital stability of the train of peakons for an integrable modified Camassa–Holm equation Adv. Math. 255 1–37 WebEnter the email address you signed up with and we'll email you a reset link.
Generalizations of the camassa-holm equation
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WebTwo-component generalizations of the Camassa-Holm equation Download PDF. Download PDF. Short Communications; Published: February 2007; Two-component … WebWhen κ= 0, the Camassa-Holm equation (1.1) has a peculiar property that its soliton solutions become piecewise smooth and have corners at their crests, such solutions are weak solutions of (1.1 ...
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 … http://www.cc.ac.cn/article/5/34.html?zy=34&language=cn&section=6
WebSep 13, 1999 · In this letter we will investigate the (2+1)-dimensional generalization of the Camassa–Holm equation (CH). Let us first recall that the CH equation in (1+1)-dimensions reads 1, 2. (1) u t −2κu x −u xxt −3uu x +2u x u xx +uu xxx =0, and describes the evolution of a free surface of an ideal fluid in the long-wave, shallow-water ... http://cdr.ins.sjtu.edu.cn/seminars/2013/06/04/bilinearizations-to-the-camassa-holm-equation-degasperis-procesi-equation-and-their-short-wave-models/315
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. …
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. thuro grove peterboroughWebMay 13, 2009 · Generalisations of the Camassa-Holm equation. We classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. … thuro incWebFeb 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. thuro goodsWebNov 14, 2024 · Abstract: In this paper, we study the following generalized Camassa-Holm equation with both cubic and quadratic nonlinearities: $$ … thuro discountWebMay 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 … thuro rollerblade women\\u0027s twisterWebApr 12, 2016 · On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System - Volume 19 Issue 4 ... [25] Holm, D.-D. and Ivanov, R.-I, Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples, J. Phys. A, 43 (2010).CrossRef … thuro rollerblade women\u0027s twisterWebJan 15, 2011 · Abstract. A three-component generalization of Camassa–Holm equation with peakon solutions is proposed, which is associated with a 3 × 3 matrix spectral problem with three potentials. With the aid of the zero-curvature equation, we derive a hierarchy of new nonlinear evolution equations and establish their Hamiltonian structures. thuro meaning