A four-component Camassa-Holm type hierarchy

JOURNAL OF GEOMETRY AND PHYSICS

卷:85

Article

Li, Nianhua¹  Liu, Q. P.¹  Popowicz, Z.² 

[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

[2] Univ Wroclaw, Inst Theoret Phys, PL-50205 Wroclaw, Poland

关键词: Peakon;    Bi-Hamiltonian structure;    Camassa-Holm type equations;    Conserved quantities;    Lax pair;   

DOI  :  10.1016/j.geomphys.2014.05.026

来源: Elsevier

【 摘 要 】

A general 3 x 3 spectral problem is proposed and the related flows, which are four-component CH type equations, are constructed. Bi-Hamiltonian structures and infinitely many conserved quantities are worked out for the relevant systems. Different reductions are also considered. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free