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Darboux transformations and recursion operators for differential-difference equations

✍ Scribed by Khanizadeh, F.; Mikhailov, A. V.; Wang, Jing Ping

Book ID
121462196
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
748 KB
Volume
177
Category
Article
ISSN
0040-5779

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πŸ“œ SIMILAR VOLUMES

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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

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Darboux transformation and the explicit solutions of differential-difference and difference-difference evolution equations I
✍ V. B. Matveev πŸ“‚ Article πŸ“… 1979 πŸ› Springer 🌐 English βš– 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