We present a method for obtaining an associated hierarchy of evolution equations possessingthe Painleve property from a given hierarchy which possesses the Painleve property. This method isapplied to the classical Bou...We present a method for obtaining an associated hierarchy of evolution equations possessingthe Painleve property from a given hierarchy which possesses the Painleve property. This method isapplied to the classical Boussinesq hierarchy to obtain the Miura type transformation and themodified classical Boussinesq hierarchy. It is also used to construct a large hierarchy of evolutionequations which possess the Paiuleve property and include the classical Boussinesq the JaulentMiodek, the dispersive long wave hierarchy as special cases. All these hierarchies have the samemodified hierarchy.展开更多
基金The projection supported by the National Natural Science Fundation of china
文摘We present a method for obtaining an associated hierarchy of evolution equations possessingthe Painleve property from a given hierarchy which possesses the Painleve property. This method isapplied to the classical Boussinesq hierarchy to obtain the Miura type transformation and themodified classical Boussinesq hierarchy. It is also used to construct a large hierarchy of evolutionequations which possess the Paiuleve property and include the classical Boussinesq the JaulentMiodek, the dispersive long wave hierarchy as special cases. All these hierarchies have the samemodified hierarchy.
