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| ADJOINT SYMMETRY CONSTRAINTS OF MULTICOMPONENT AKNS EQUATIONS |
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Citation： |
MA Wenxiu,ZHOU Ruguang.ADJOINT SYMMETRY CONSTRAINTS OF MULTICOMPONENT AKNS EQUATIONS[J].Chinese Annals of Mathematics B,2002,23(3):373~384 |
| Page view： 1606
Net amount： 828 |
Authors： |
MA Wenxiu; ZHOU Ruguang |
Foundation： |
Project supported by the Research Grants Council of Hong Kong (CERG 9040466); the City University of Hong Kong (SRGs 7001041, 7001178); the National Science Foundation of China (No. 198010-31); the Special Grant of Excellent PhD Thesis (No. 200013); the Special Funds for Major State Basic Research Projects (No. G2000077301), the ‘Qinglan Gongcheng’ of Jiangsu Province, China. |
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| Abstract： |
A soliton hierarchy of multicomponent AKNS equations is generated from an arbitrary order matrix spectral problem, along with its bi-Hamiltonian formulation. Adjoint symmetry constraints are presented to manipulate binary nonlinearization for the associated arbitrary order matrix spectral problem. The resulting spatial and temporal constrained flows are shown to provide integrable decompositions of the multicomponent AKNS equations. |
Keywords： |
Adjoint symmetry constraint, Soliton equation, AKNS equations, Integrable decomposition, Integrable Hamiltonian system |
Classification： |
37K10 |
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