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Recently, Holm and Ivanov, proposed and studied a class of multi-componentgeneralisations of the Camassa-Holm equations [D D Holm and R I Ivanov,Multi-component generalizations of the CH equation: geometrical aspects,peakons and numerical examples, J. Phys A: Math. Theor. 43, 492001 (20pp),2010]. We consider two of those systems, denoted by Holm and Ivanov by CH(2,1)and CH(2,2), and report a class of integrating factors and its correspondingconservation laws for these two systems. In particular, we obtain the completesent of first-order integrating factors for the systems in Cauchy-Kovalevskayaform and evaluate the corresponding sets of conservation laws for CH(2,1) andCH(2,2).

The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws