Title of article
Squared Eigenfunction Symmetries for Soliton Equations: Part I
Author/Authors
Walter Oevel، نويسنده , , Sandra Carillo، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 1998
Pages
18
From page
161
To page
178
Abstract
Three classes of soliton systems associated with scalar Lax operators are considered.
They represent, in turn, the 2q1-dimensional hierarchies of the KP equation,
the modified KP equation and the Dym equation. They are related via gauge
transformations and reciprocal links. For each class an algebraic construction of
the symmetry transformation generated by products of adjoint.eigenfunctions is
given. The links between the soliton hierarchies are extended to these symmetries
Keywords
integrable systems , squared eigenfunctions , B¨acklund transformations , KP hierarchy , modified KP hierarchy , Dym hierarchy
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
1998
Journal title
Journal of Mathematical Analysis and Applications
Record number
929868
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