Abstract
The continuation of solutions for the two-component Camassa-Holm system after wave breaking is studied in this paper. The global conservative solution is derived first, from which a semigroup and a multipeakon conservative solution are established. In developing the solution, a system transformation based on a skillfully defined characteristic and a set of newly introduced variables is used. It is the transformation, together with the associated properties, that allows for the establishment of the results for continuity of the solution beyond collision time. © 2013 Wang and Song.
| Original language | English |
|---|---|
| Article number | 165 |
| Journal | Boundary Value Problems |
| Volume | 2013 |
| Early online date | 10 Jul 2013 |
| DOIs | |
| Publication status | Published - 25 Nov 2013 |
| Externally published | Yes |
Bibliographical note
The authors would like to thank the referees for constructive suggestions and comments.Funding
The paper is supported by the Major State Basic Research Development Program 973 (No. 2012CB215202), the National Natural Science Foundation of China (No. 61134001) and the Fundamental Research Funds for the Central Universities (No. CDJXS12170003).
Keywords
- Conservative multipeakon solutions
- Global conservative solutions
- Lagrangian system
- Two-component Camassa-Holm system