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
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
Journal title :
Journal of Mathematical Analysis and Applications