中国物理B ›› 2007, Vol. 16 ›› Issue (3): 588-594.doi: 10.1088/1009-1963/16/3/005
岳超1, 张玉峰2, 魏媛2
Yue Chao(岳超)a)†, Zhang Yu-Feng(张玉峰)b)‡, and Wei Yuan(魏媛)b)
摘要: Though various integrable hierarchies of evolution equations were obtained by choosing proper U in zero-curvature equation Ut-Vx+[U,V]=0, but in this paper, a new integrable hierarchy possessing bi-Hamiltonian structure is worked out by selecting V with spectral potentials. Then its expanding Lax integrable model of the hierarchy possessing a simple Hamiltonian operator \widetilde{J} is presented by constructing a subalgebra \widetilde{G } of the loop algebra \widetilde A2. As linear expansions of the above-mentioned integrable hierarchy and its expanding Lax integrable model with respect to their dimensional numbers, their (2+1)-dimensional forms are derived from a (2+1)-dimensional zero-curvature equation.
中图分类号: (Integrable systems)