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The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws
Two-Component Camassa-Holm Equations CH(2,1) CH(2,2) First-Order Integrating Factors Conservation Laws Exactly Solvable and Integrable Systems
2012/4/26
Recently, Holm and Ivanov, proposed and studied a class of multi-component generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov, Multi-component generalizations of the CH equation: g...
Generalized Fourier transform on Chébli-Triméche hypergroups
Ch´ ebli-Trim`eche hypergroups Generalized Fourier transform
2011/3/1
In this paper, we prove the Hardy-Littlewood inequality for the generalized Fourier transform on Ch´ebli-Trim`eche hypergroups and we study in the particular case of the Jacobi hypergroup the in...
We update and refine the work of T. Hamada concerning *-Einstein hypersurfaces in complex space forms CP^n and CH^n. We also address existence questions using the methods of moving frames and exterior...
Non-uniform dependence on initial data for the CH equation on the line
CH equation integrable non-periodic Cauchy problem Sobolev spaces
2010/12/10
For s > 3=2 two sequences of CH solutions living in a bounded set of the Sobolev space Hs(R) are constructed, whose distance at the initial time is converging to zero while at any later time is bounde...
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...