Continuous limits for an integrable coupling system of Toda equation hierarchy |
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Authors: | Li Li |
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Affiliation: | College of Maths and Systematic Science, Shenyang Normal University, Shenyang 110034, PR China |
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Abstract: | In this Letter, we present an integrable coupling system of lattice hierarchy and its continuous limits by using of Lie algebra sl(4). By introducing a complex discrete spectral problem, the integrable coupling system of Toda lattice hierarchy is derived. It is shown that a new complex lattice spectral problem converges to the integrable couplings of discrete soliton equation hierarchy, which has the integrable coupling system of C-KdV hierarchy as a new kind of continuous limit. |
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Keywords: | 02.30.Ik 05.50.+q |
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