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A new hierarchy of integrable differential-difference equations and Darboux transformation

โœ Scribed by Wu, Yongtang; Geng, Xianguo

Book ID
118201999
Publisher
Institute of Physics
Year
1998
Tongue
English
Weight
181 KB
Volume
31
Category
Article
ISSN
0305-4470

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๐Ÿ“œ SIMILAR VOLUMES

Darboux transformation and the explicit
Darboux transformation and the explicit solutions of differential-difference and difference-difference evolution equations I
โœ V. B. Matveev ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer ๐ŸŒ English โš– 188 KB

A B ST RACT. Explicit formulae involving determinants are obtained for the solutions of a class of linear differential-difference and difference-difference evolution equations. The corresponding non-linear problems generated by the conditions of compatibility of those linear equations (the discrete

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Differential-difference evolution equations. II (Darboux transformation for the Toda lattice)
โœ V. B. Matveev; M. A. Salle ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer ๐ŸŒ English โš– 193 KB

Toda lattice equation is represented in the form of the condition of compatibility of the system of linear equations corresponding to a non-Hermitian Lax representation. The Darboux invariance of this linear system is defined and proved in the text, and enables us to construct some new formulas for