Bäcklund transformations for several cases of a type of generalized KdV equation.
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Bracken, Paul (2004)
International Journal of Mathematics and Mathematical Sciences
Sakhnovich, Alexander (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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.
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