Perturbational self-similar solutions for the 2-component Degasperis-Procesi system via a characteristic method

Authors

HONGLI AN
KA-LUEN CHEUNG
MANWAI YUEN

DOI

10.3906/mat-1509-83

Abstract

In this paper, the two-component Degasperis-Procesi system arising in 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 the modeling of tsunamis. In addition, the method proposed can be extended to other mathematical physics models like the two-component Camassa-Holm equations.

Keywords

2-Component Degasperis-Procesi system, special transformation, characteristic method, perturbational solution

First Page

1237

Last Page

1245

Recommended Citation

AN, HONGLI; CHEUNG, KA-LUEN; and YUEN, MANWAI (2016) "Perturbational self-similar solutions for the 2-component Degasperis-Procesi system via a characteristic method," Turkish Journal of Mathematics: Vol. 40: No. 6, Article 6. https://doi.org/10.3906/mat-1509-83
Available at: https://journals.tubitak.gov.tr/math/vol40/iss6/6