Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 220, Issue -, Pages 117-122Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2013.04.062
Keywords
Zero curvature equation; Recursion operator; Hamiltonian structure
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Funding
- State Administration of Foreign Experts Affairs of China
- National Natural Science Foundation of China [11271008, 10831003, 61072147, 11071159]
- Chunhui Plan of the Ministry of Education of China
- Zhejiang Innovation Project of China [T200905]
- First-class Discipline of Universities in Shanghai
- Shanghai Univ. Leading Academic Discipline Project [A.13-0101-12-004]
- Natural Science Foundation of Shanghai [09ZR1410800]
- Shanghai Leading Academic Discipline Project [J50101]
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We generate a hierarchy of soliton equations from zero curvature equations associated with the real Lie algebra so(3, R) and show that each equation in the resulting hierarchy has a bi-Hamiltonian structure and thus integrable in the Liouville sense. (C) 2013 Elsevier Inc. All rights reserved.
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