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Conservation laws of some soliton equations with self-consistent sources
《Journal of Shanghai University(English Edition)》2011年第3期157-165,共9页李琪 张大军 陈登远 
supported by the National Natural Science Foundation of China (Grant Nos.10371070, 10671121);the Shanghai Leading Academic Discipline Project (Grant No.J50101);the President Foundation of East China Institute of Technology (Grant No.DHXK0810)
Infinitely many conservation laws for some （1＋1）-dimension soliton hierarchy with self-consistent sources are constructed from their corresponding Lax pairs directly. Three examples are given. Besides, infinitely m...
关键词：Ablowitz-Kaup-Newell-Segur （AKNS） hierarchy with self-consistent sources Kaup-Newell （KN） hierarchy with self-consistent sources Ablowitz-Ladik （AL） hierarchy with self-consistent sources Kadomtsev-Petviashvili （KP） hierarchy with self-consistent sources conservation laws 
Solutions for non-isospectral variable coefficient KdV equation
《Journal of Shanghai University(English Edition)》2010年第6期410-414,共5页朱晓英 张大军 陈登远 
Project supported by the National Natural Science Foundation of China (Grant Nos.10371070, 10671121);the Shanghai Leading Academic Discipline Project (Grant No.J50101)
By bilinear approach we derive N-soliton-like solutions for a variable coefficient KdV equation with some x-dependent coefficients. This equation can be considered as a non-isospectral variable coefficient KdV equatio...
关键词：non-isospectral variable coefficient KdV equation Hirota method Wronskian technique 
Equivalent transformation between the matrices for expanding integrable model of the hierarchy of evolution equation
《Journal of Shanghai University(English Edition)》2007年第3期255-258,共4页姚玉芹 陈登远 
Project supported by the National Natural Science Foundation of China （Grant Nos.10371070, 10547123）
A direct method for obtaining the expanding integrable models of the hierarchies of evolution equations was proposed. By using the equivalent transformation between the matrices, a new isospectral problem was directly...
关键词：isospectral problem expanding integrable model matrix. 
The extended trace identity and its application
《Chinese Physics B》2007年第3期611-620,共10页姚玉芹 陈登远 
Project supported by the National Natural Science Foundation of China （Grant Nos 10371070 and 10547123）. Acknowledgments The first author expresses her appreciation to the Soliton Research Team of Shanghai University, China for useful discussion.
The trace identity is extended to the general loop algebra. The Hamiltonian structures of the integrable sys- tems concerning vector spectral problems and the multi-component integrable hierarchy can be worked out by ...
关键词：loop algebra Killing form trace identity Hamiltonian structure 
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