Hamiltonian structures of a coupled Ramani equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:453

Article

Li, Nianhua¹  Gao, Binfang² 

[1] Huaqiao Univ, Sch Math, Quanzhou 362021, Fujian, Peoples R China

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

关键词: Romani equation;    Drinfeld-Sokolov hierarchy;    Hamiltonian structure;   

DOI  :  10.1016/j.jmaa.2017.04.043

来源: Elsevier

【 摘 要 】

With the aid of Hamiltonian structures for the constrained modified KP flow, we show that a coupled Romani equation is a bi-Hamiltonian system with a local Hamiltonian operator (P) over bar (2) and a symplectic operator. After a reduction, we recover the bi-Hamiltonian formalism of the Ramani equation. Furthermore, we obtain the explicit bi-Hamiltonian structure for the Drinfeld-Sokolov hierarchies of C-3((1)) using the local Hamiltonian operator (P) over bar (2). (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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