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Peakons arising as particle paths beneath small-amplitude water waves
Peakons arising particle paths beneath small-amplitude water waves
2011/7/26
Abstract: We present a new kind of particle path in constant vorticity water of finite depth, within the framework of small-amplitude waves.
The $\mu$-Camassa-Holm ($\mu$CH) equation is a nonlinear integrable partial differential equation closely related to the Camassa-Holm equation. We prove that the periodic peaked traveling wave solutio...
Two-component {CH} system: Inverse Scattering, Peakons and Geometry
Two-component {CH} system Inverse Scattering Peakons and Geometry
2010/12/16
An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equa-tion. As an illustration of the ...
Multi-component generalizations of the {CH} equation: Geometrical Aspects, Peakons and Numerical Examples
Multi-component generalizations {CH} equation Geometrical Aspects Peakons Numerical Examples
2010/12/16
The Lax pair formulation of the two-component Camassa-Holm equation (CH2) is generalized to produce an integrable multi-component family, CH(n,k), of equations with n components and 1 jkj n veloci...
Interactions Among Peakons, Dromions, and Compactons for a
(2+1)-Dimensional Soliton System
interaction peakon dromion compacton
2007/8/15
2004Vol.41No.4pp.513-520DOI:
Interactions Among Peakons, Dromions, and Compactons for a
(2+1)-Dimensional Soliton System
ZHENG Chun-Long
Department of Physics, Zhejian...