Three classes of soliton systems associated with scalar Lax operators are considered. They represent, in turn, the 2 + 1-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. (C) 1998 Academic Press.
Squared eigenfunction symmetries for soliton equations: Part I / Walter, Oevel; Carillo, Sandra. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 217:1(1998), pp. 161-178. [10.1006/jmaa.1997.5707]
Squared eigenfunction symmetries for soliton equations: Part I
CARILLO, Sandra
1998
Abstract
Three classes of soliton systems associated with scalar Lax operators are considered. They represent, in turn, the 2 + 1-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. (C) 1998 Academic Press.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
