A lattice hierarchy and its continuous limits |
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Authors: | Engui Fan |
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Institution: | School of Mathematical Sciences and Key Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai 200433, PR China |
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Abstract: | By introducing a discrete spectral problem, we derive a lattice hierarchy which is integrable in Liouville's sense and possesses a multi-Hamiltonian structure. It is show that the discrete spectral problem converges to the well-known AKNS spectral problem under a certain continuous limit. In particular, we construct a sequence of equations in the lattice hierarchy which approximates the AKNS hierarchy as a continuous limit. |
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Keywords: | 02 30 Ik 05 50 +q 04 20 Jb |
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