Recently, Fan, Gao and Liu proposed a kind of rotation-two-component Camassa–Holm system. In this paper, we investigate whether the rotation-two-component Camassa–Holm system admits peakon-delta weak solutions in distribution sense. As special reductions, all peakon solutions for generalized Dullin–Gottwald–Holm system, two-component Camassa–Holm system, Dullin–Gottwald–Holm equation and Camassa–Holm equation are recovered from the corresponding results of rotation-two-component Camassa–Holm system. Copyright © 2019 Elsevier Ltd. All rights reserved.
|Journal||Applied Mathematics Letters|
|Early online date||May 2019|
|Publication status||Published - Nov 2019|
CitationFan, E., & Yuen, M. (2019). Peakon weak solutions for the rotation-two-component Camassa–Holm system. Applied Mathematics Letters, 97, 53-59. doi: 10.1016/j.aml.2019.05.008
- Rotation-two-component camassa–Holm system
- Delta function
- Peakon solution