文献类型：期刊文献

英文题名：TWO HIERARCHIES OF NONLINEAR SOLITON EQUATIONS, NEW INTEGRABLE SYMPLECTIC MAP AND DISCRETE INTEGRABLE COUPLINGS

作者：Sun, Ye-Peng[1];Zhao, Hong-Qing[2]

机构：[1]Shandong Econ Univ, Sch Math & Stat, Jinan 250014, Peoples R China;[2]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

年份：2010

卷号：24

期号：24

起止页码：4821

外文期刊名：INTERNATIONAL JOURNAL OF MODERN PHYSICS B

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000286144200013)】；

基金：The authors would like to express their thanks to the referees for their valuable advice. The authors are also grateful to Professor Hu Xing-Biao for his guidance and ardent help. This project was supported by China Postdoctoral Science Foundation, the National Natural Science Foundation of China (10771207) and the Nature Science Foundation of Shandong Province of China (ZR2010AL014).

语种：英文

外文关键词：Nonlinear soliton equation; Hamiltonian system; integrable symplectic map; discrete integrable coupling

摘要：Two hierarchies of nonlinear soliton equations are derived from a discrete spectral problem. It is shown that the hierarchies are completely integrable Hamiltonian systems. Moreover, a new integrable symplectic map is obtained using the binary nonlinearization method. With the help of semi-direct sum of Lie algebra, discrete integrable couplings are constructed.