Abstract
This paper investigates the multipeakon dissipative behavior of the modified coupled two-component Camassa-Holm system arisen from shallow water waves moving. To tackle this problem, we convert the original partial differential equations into a set of new differential equations by using skillfully defined characteristic and variables. Such treatment allows for the construction of the multipeakon solutions for the system. The peakon-antipeakon collisions as well as the dissipative behavior (energy loss) after wave breaking are closely examined. The results obtained herein are deemed valuable for understanding the inherent dynamic behavior of shallow water wave breaking. © 2013 Zhixi Shen et al.
| Original language | English |
|---|---|
| Article number | 107450 |
| Journal | Mathematical Problems in Engineering |
| Volume | 2013 |
| Issue number | 1 |
| Early online date | 20 Aug 2013 |
| DOIs | |
| Publication status | Published - 2013 |
| Externally published | Yes |
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). The authors would like to thank the referees.