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THE MODIFIED TODA LATTICE IN (2+1)-DIMENSIONS AND INTEGRABLE COUPLING SYSTEMS

HONGXIANG YANG

Department of Information Science and Technology, Taishan College, Taian 271021, People's Republic of China

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XIXIANG XU

College of Science, Shandong University of Science and Technology, Qingdao 266510, People's Republic of China

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XIUZHEN LI

Department of Radiology, Taishan Medical University, Taian 271000, People's Republic of China

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CHANGSHENG LI

Department of Information Science and Technology, Taishan College, Taian 271021, People's Republic of China

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https://doi.org/10.1142/S0217979206035461Cited by:0 (Source: Crossref)

Abstract

By considering a discrete isospectral problem [H.-X. Yang et al., Phys. Lett. A338, 117 (2005)], integrable positive and negative lattice equations are derived, from which the modified (2+1)-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 (2+1)-dimensional mToda lattice are discussed.

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