THE MODIFIED TODA LATTICE IN -DIMENSIONS AND INTEGRABLE COUPLING SYSTEMS.

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作者单位: Department of Information Science and Technology, Taishan College, Taian 271021, Department of Radiology, Taishan Medical University, Taian 271000, College of Science, Shandong University of Science and Technology, Qingdao 266510,

刊名: International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics

摘要: By considering a discrete isospectral problem [H.-X. Yang et al., Phys. Lett. A338, 117 ], integrable positive and negative lattice equations are derived, from which the modified -dimensional Toda lattice is obtained. The method of enlarging spectral problems to construct the integrable couplings for lattice soliton equations is extended to higher-dimensional systems. Illustrating by examples, the positive and negative integrable couplings of the resulting lattice hierarchy and three classes of ...更多; By considering a discrete isospectral problem [H.-X. Yang et al., Phys. Lett. A338, 117 ], integrable positive and negative lattice equations are derived, from which the modified -dimensional Toda lattice is obtained. The method of enlarging spectral problems to construct the integrable couplings for lattice soliton equations is extended to higher-dimensional systems. Illustrating by examples, the positive and negative integrable couplings of the resulting lattice hierarchy and three classes of integrable couplings of -dimensional mToda lattice are discussed.收起

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