The multi-component Tu hierarchy of soliton equations and its multi-component integrable couplings system
Xia Tie-Cheng (夏铁成)ab, Wang Hong (汪宏)c, Zhang Yu-Feng (张玉峰)d
a Department of Mathematics, Tianjin University, Tianjin 300072, China; b Department of Mathematics, Bohai University, Jinzhou 121000, China; c Department of Physics, Tianjin University, Tianjin 300072, Chinad Department of Mathematics, Liaoning Normal University, Dalian 116022, China
Abstract A new simple loop algebra $\widetilde{G}_M$ is constructed, which is devoted to the establishing of an isospectral problem. By making use of the Tu scheme, the multi-component Tu hierarchy is obtained. Furthermore, an expanding loop algebra $\widetilde{F}_M$ of the loop algebra $\widetilde{G}_M$ is presented. Based on the $\widetilde{F}_M$, the multi-component integrable coupling system of the multi-component Tu hierarchy has been worked out. The method can be applied to other nonlinear evolution equation hierarchies.
Received: 08 October 2003
Revised: 27 September 2004
Accepted manuscript online:
Fund: Projet supported by the National Natural Science Foundation of China (Grant No 10371070), the Special Funds for Major Specialities of Shanghai Educational Committee and Natural Science Foundation of Educational Committee of Liaoning Province.
Cite this article:
Xia Tie-Cheng (夏铁成), Wang Hong (汪宏), Zhang Yu-Feng (张玉峰) The multi-component Tu hierarchy of soliton equations and its multi-component integrable couplings system 2005 Chinese Physics 14 247
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
