Abstract
This paper investigates the continuation of solutions to the modified coupled two-component Camassa-Holm system after wave breaking. The underlying problem is rather challenging due to the mutual coupling effect between two components in the system. By introducing a novel transformation that makes use of a skillfully defined characteristic and a set of newly defined variables, the original system is converted into a Lagrangian equivalent system, from which the global conservative solution is obtained, which further allows for the establishment of the multipeakon conservative solution of the system. The results obtained herein are deemed useful for understanding the inevitable phenomenon near wave breaking. © 2014 Huabin Wen et al.
| Original language | English |
|---|---|
| Article number | 606249 |
| Journal | Mathematical Problems in Engineering |
| Volume | 2014 |
| DOIs | |
| Publication status | Published - 24 Apr 2014 |
| Externally published | Yes |
Funding
This work was supported in part by the Major State Basic Research Development Program 973 (no. 2012CB215202), the National Natural Science Foundation of China (no. 61134001), and Key Laboratory of Dependable Service Computing in Cyber Physical Society (Chongqing University), Ministry of Education.