The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws
- 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).
| Author: | Marianna Euler, Norbert Euler, Thomas Wolf |
|---|---|
| Document Type: | Article |
| Parent Title (English): | Journal of Nonlinear Mathematical Physics |
| Volume: | 19 |
| Issue: | 1 |
| First Page: | 13 |
| Last Page: | 22 |
| Year of first publication: | 2013 |
| Preprint: | urn:nbn:de:0297-zib-16087 |
| DOI: | https://doi.org/10.1142/S1402925112400025 |
