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Subjects
37-XX Dynamical systems and ergodic theory
37Kxx Infinite-dimensional Hamiltonian systems
37K35 Lie-Bäcklund and other transformations

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Bäcklund transformations for several cases of a type of generalized KdV equation.

Bracken, Paul (2004)

International Journal of Mathematics and Mathematical Sciences

Bäcklund-Darboux transformation for non-isospectral canonical system and Riemann-Hilbert problem.

Sakhnovich, Alexander (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Backlund-Darboux Transformations in Sato's Grassmannian

Bakalov, B., Horozov, E., Yakimov, M. (1996)

Serdica Mathematical Journal

We define Bäcklund–Darboux transformations in Sato’s Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators. We describe the action of these transformations on related objects: wave functions, tau-functions and spectral algebras.

Currently displaying 1 – 3 of 3

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