| This thesis mainly studies the super extension of the Harry-Dym equation and establishes its super Bi-Hamilton structures and infinite conservation laws.Firstly,based on the zero-curvature equation of the 3 × 3 matrix spectral problem,the hierarchy of super HarryDym equation is derived.Then Bi-Hamilton structures of the super Harry-Dym hierarchy are constructed by using the super trace identities.Finally,the infinite conservation laws of the super Harry-Dym equation are obtained with the help of spectral parameter expansion. |
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