On time evolutions associated with the nonstationary Schrödinger equation

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dc.creatorPogrebkov, A. K.
dc.date1999-02-09
dc.date.accessioned2026-07-07T04:32:41Z
dc.date.available2026-07-07T04:32:41Z
dc.descriptionThe set of integrable symmetries of the nonstationary Schrödinger equation is shown to admit a natural decomposition into subsets of mutually commuting symmetries. Hierarchies of time evolutions associated with each of these subsets ultimately lead to nonlinear (possibly, operator) equations of the Kadomtsev--Petviashvili I type or its higher analogues, thus demonstrating that the linear problem itself constructively determines the associated nonlinear integrable evolution equations and their hierarchies.
dc.identifierhttps://arxiv.org/abs/math-ph/9902014
dc.identifierhttp://arxiv.org/abs/math-ph/9902014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58282
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn time evolutions associated with the nonstationary Schrödinger equation
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