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DARBOUX TRANSFORMATION OF THE MODIFIED TODA LATTICE EQUATION

XI-XIANG XU

College of Science, Shandong University of Science and Technology, Qingdao, 266510, China

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HONG-XIANG YANG

Department of Information Science and Technology, Taishan College, Taian, 271021, China

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, and

YE-PENG SUN

Department of Mathematics, Shanghai University, Shanghai, 200436, China

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https://doi.org/10.1142/S0217984906011025Cited by:18 (Source: Crossref)

Abstract

A modified Toda lattice equation associated with a properly discrete matrix spectral problem is introduced. Darboux transformation for the resulting lattice equation is constructed. As an application, the soliton solution for the Toda lattice equation is explicitly given.

Keywords:

PACS: 02.30.Ik

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