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

Hongli AN; Ka-luen CHEUNG; Manwai YUEN

Makale detayları

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

Yazarlar:

Hongli AN | Ka-luen CHEUNG | Manwai YUEN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1237-1245

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746105

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

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.

Makale detayları

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

Yazarlar: Hongli AN | Ka-luen CHEUNG | Manwai YUEN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1237-1245

Belge Tipi: Makale

Yayın Tarihi: 11/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746105

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Hongli AN | Ka-luen CHEUNG | Manwai YUEN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 6, pp.1237-1245

Belge Tipi:

Makale

Yayın Tarihi:

11/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746105

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098