In this paper, the two-component Degasperis-Procesi system arising in the shallow water theory is investigated. By using a special transformation and the characteristic method, a class of perturbational self-similar solutions is constructed. Such solutions are not only more general than those obtained by Yuen in 2011, but also they may have potential applications in modelling of tsunamis. In addition, the method proposed can be extended to the other mathematical physics models like the two-component Camassa-Holm equations. Copyright © 2016 Scientific and Technical Research Council of Turkey.
CitationAn, H., Cheung, K. L., & Yuen, M. W. (2016). Perturbational self-similar solutions for the 2-component Degasperis-Procesi system via a characteristic method. Turkish journal of mathematics, 40(6), 1237-1245.
- 2-component Degasperis-Procesi system
- Special transformation
- Characteristic method
- Perturbational solution