Generalizations of the camassa-holm equation
WebApr 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 … WebX.K. Chang. On finite Toda type lattices and multipeakons of the Camassa-Holm type equations. Nonlinear systems and their remarkable mathematical structures. Vol. 3, Contributions from China. CRC Press, Boca Raton, FL, 2024 X.K. Chang and J. Szmigielski. Vibrations of an elastic bar, isospectral deformations, and modified Camassa-Holm …
Generalizations of the camassa-holm equation
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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 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 …
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 … 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 ...
WebEquations of the Camassa-Holm hierarchy. Rossen Ivanov. 2009, Theoretical and Mathematical Physics ... http://wdxy.zjnu.edu.cn/2024/0409/c11681a433016/page.htm
WebMay 13, 2009 · Generalisations of the Camassa-Holm equation. We classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. …
WebSep 1, 1996 · The Camassa-Holm equation turns out to be a different-factorization equation of the KdV, it describes shallow water waves and reconciles the properties which … dj knikeWebMay 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. dj knoxxWebJul 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 dj knossiWebalso 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 Diff+(S1) ⋉ C∞(S1) generalizes the Camassa-Holm flow on Vect(S1)∗. It is known that the Camassa-Holm equation can be interpreted as the dj knucklez datpiffWebIntegrable Multicomponent Generalizations of Camassa-Holm Equation δ-Shocks for quasilinear Hyperbolic Systems in R2 Microlocal Approach in Studying the Propagation of Nonlinear Waves Readership: Mathematicians working on PDEs; PhD students and specialists in mathematical physics; physicists and engineers. dj knox dubaiWebAug 6, 2009 · The Camassa-Holm equation possesses an infinite hierarchy of loc al higher symmetries and the first non- trivial local symmetry is u … dj knotsWebThe orbital stability of the peaked solitary-wave solutions for a gen- eralization of the modified Camassa-Holm equation with both cubic and quadratic nonlinearities is investigated. The equation is a model of asymptotic shallow-water wave approximations to the incompressible Euler equations. dj knoxville