@article{OdesskiiWolf2013, author = {Odesskii, Alexander and Wolf, Thomas}, title = {Compatible quadratic Poisson brackets related to a family of elliptic curves}, volume = {63}, journal = {Journal of Geometry and Physics}, number = {0}, issn = {0393-0440}, pages = {107 -- 117}, year = {2013}, language = {en} } @article{EulerEulerWolf2013, 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}, volume = {19}, journal = {Journal of Nonlinear Mathematical Physics}, number = {1}, doi = {10.1142/S1402925112400025}, pages = {13 -- 22}, year = {2013}, 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} }