Lagrangian chains and canonical Bäcklund transformations
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Publication:1417260
DOI10.1023/A:1012858820688zbMath1029.37042OpenAlexW158057942MaRDI QIDQ1417260
V. G. Marikhin, A. B. Shabat, Vsevolod Eduardovich Adler
Publication date: 4 January 2004
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1012858820688
Bäcklund transformationssoliton equationsDarboux transformations for operatorsdressing chain for the Boussinesq equation
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Differential operators on the superline, Berezinians, and Darboux transformations ⋮ The dressing chain and one-point commuting difference operators of rank 1 ⋮ The Symmetric Fourth Painlevé Hierarchy and Associated Special Polynomials ⋮ Classification of multidimensional Darboux transformations: first order and continued type ⋮ Symmetries of Spectral Problems ⋮ Factorization of Darboux-Laplace transformations for discrete hyperbolic operators ⋮ Action as an invariant of Bäcklund transformations for Lagrangian systems ⋮ Classification of Darboux transformations for operators of the form \(\partial_x\partial_y+a\partial_x+b\partial_y+c\) ⋮ Formal recursion operators of integrable nonevolutionary equations and Lagrangian systems ⋮ Auto-Bäcklund transformations and superposition formulas for solutions of Drinfeld-Sokolov systems
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