@misc{EulerEulerWolf, author = {Euler, Marianna and Euler, Norbert and Wolf, Thomas}, title = {The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-16087}, abstract = {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: geometrical aspects, peakons and numerical examples, {\it J. Phys A: Math. Theor} {\bf 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 corresponding conservation laws for these two systems. In particular, we obtain the complete sent of first-order integrating factors for the systems in Cauchy-Kovalevskaya form and evaluate the corresponding sets of conservation laws for CH(2,1) and CH(2,2).}, language = {en} } @article{EulerEulerWolf, author = {Euler, Marianna and Euler, Norbert and Wolf, Thomas}, title = {The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws}, series = {Journal of Nonlinear Mathematical Physics}, volume = {19}, journal = {Journal of Nonlinear Mathematical Physics}, number = {1}, doi = {10.1142/S1402925112400025}, pages = {13 -- 22}, abstract = {Recently, Holm and Ivanov, proposed and studied a class of multi-component generalizations 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 (2010) 492001 (20pp)]. 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 corresponding conservation laws for these two systems. In particular, we obtain the complete set of first-order integrating factors for the systems in Cauchy-Kovalevskaya form and evaluate the corresponding sets of conservation laws for CH(2,1) and CH(2,2).}, language = {en} }