Recursion and Group Structures of Soliton Equations

B. G. Konopelchenko
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B. G. Konopelchenko: Institute of Nuclear Physics

A chapter in Symmetries of Partial Differential Equations, 1989, pp 287-328 from Springer

Abstract: Abstract The recursion operator method for nonlinear evolution equations integrable by the inverse spectral transform method is discussed. This method enables us to present the integrable equations in a compact and convenient form and to construct the infinite-dimensional groups of general Bäcklund transformations and the infinite-dimensional symmetry groups for these equations. Adjoint representation of the spectral problems plays a central role in the recursion operator method. Nonlinear integrable equations in 1 + 1 and 1 + 2 dimensions are considered.

Keywords: Soliton recursion operator; Bäcklund transformation; symmetry group (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-1948-8_10

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DOI: 10.1007/978-94-009-1948-8_10

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