From the MR review by T.S.Ratiu: "The authors investigate the algebraic structure of the intermediate long wave equation (ILW). The general framework is that of a manifold endowed with a Nijenhuis tensor and a group of symmetries keeping this tensor invariant (a GN manifold). It is shown that the ILW hierarchy can be obtained by different realizations of two abstract structures intimately connected with the Yang-Baxter equations. Two different GN manifolds corresponding to solutions of the modified Yang-Baxter and the Yang-Baxter equations are constructed. Two particular realizations of their reductions then yield equivalent realizations of the ILW hierarchy. "
Yang-Baxter equations and Intermediate Long Wave Hierarchies
MOROSI, CARLO;
1989-01-01
Abstract
From the MR review by T.S.Ratiu: "The authors investigate the algebraic structure of the intermediate long wave equation (ILW). The general framework is that of a manifold endowed with a Nijenhuis tensor and a group of symmetries keeping this tensor invariant (a GN manifold). It is shown that the ILW hierarchy can be obtained by different realizations of two abstract structures intimately connected with the Yang-Baxter equations. Two different GN manifolds corresponding to solutions of the modified Yang-Baxter and the Yang-Baxter equations are constructed. Two particular realizations of their reductions then yield equivalent realizations of the ILW hierarchy. "File | Dimensione | Formato | |
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