We show that a class of spectral problems are related to the spectral problem of the Volterra lattice through a gauge transformation. The transformation is given. We hope that our discussion can draw attention to the ...We show that a class of spectral problems are related to the spectral problem of the Volterra lattice through a gauge transformation. The transformation is given. We hope that our discussion can draw attention to the study of gauge transformation theory of differential-difference integrable systems.展开更多
We prove that the C. Neumann problem in the case where the potential matrix A hasmultiple eigenvalues is completely integrable by means of the moment map and the confocalquadric.
基金Supported by the National Natural Science Foundation of China under Grant No 11371241
文摘We show that a class of spectral problems are related to the spectral problem of the Volterra lattice through a gauge transformation. The transformation is given. We hope that our discussion can draw attention to the study of gauge transformation theory of differential-difference integrable systems.
文摘We prove that the C. Neumann problem in the case where the potential matrix A hasmultiple eigenvalues is completely integrable by means of the moment map and the confocalquadric.
