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

Hong-Li An | Zendy; Ka Luen Cheung | Zendy; Manwai Yuen | Zendy

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

Author(s) -

Hong-Li An,

Ka Luen Cheung,

Manwai Yuen

Publication year - 2016

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1509-83

Subject(s) - component (thermodynamics) , transformation (genetics) , mathematics , class (philosophy) , mathematical analysis , physics , computer science , quantum mechanics , chemistry , biochemistry , artificial intelligence , gene

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.

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