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该文从1+1维的孤子方程出发,构造出一个2+1维在Lax意义下可积的方程.接着这个2+1维可积方程被分解为可解的常微分方程.随后引入超椭圆Riemann曲面和Abel-Jacobi坐标把流进行了拉直.再利用Riemannθ函数给出了这个2+1维方程的代数几何解. 相似文献
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With the help of a Lie algebra,two kinds of Lie algebras with the forms of blocks are introduced for generating nonlinear integrable and bi-integrable couplings.For illustrating the application of the Lie algebras,an integrable Hamiltonian system is obtained,from which some reduced evolution equations are presented.Finally,Hamiltonian structures of nonlinear integrable and bi-integrable couplings of the integrable Hamiltonian system are furnished by applying the variational identity.The approach presented in the paper can also provide nonlinear integrable and bi-integrable couplings of other integrable system. 相似文献
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Multi-component Dirac equation hierarchy and its multi-component integrable couplings system 总被引:2,自引:0,他引:2 下载免费PDF全文
A general scheme for generating a multi-component
integrable equation hierarchy is proposed. A simple
3M-dimensional loop algebra \tilde{X} is produced. By taking
advantage of \tilde{X}, a new isospectral problem is established
and then by making use of the Tu scheme the multi-component Dirac
equation hierarchy is obtained. Finally, an expanding loop algebra
\tilde{F}M of the loop algebra \tilde{X} is presented. Based
on the \tilde{F}M, the multi-component integrable coupling
system of the multi-component Dirac equation hierarchy is
investigated. The method in this paper can be applied to other
nonlinear evolution equation hierarchies. 相似文献
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