科研之友
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摘要
A super CamassaHolm equation with peakon solutions is proposed, which is associated with a 3 x 3 matrix spectral problem with two potentials. With the aid of the zero-curvature equation, we derive a hierarchy of super Harry Dym type equations and establish their Hamiltonian structures. It is shown that the super CamassaHolm equation is exactly a negative flow in the hierarchy and admits exact solutions with N peakons. As an example, exact 1-peakon solutions of the super CamassaHolm equation are given. Infinitely many conserved quantities of the super CamassaHolm equation and the super Harry Dym type equation are, respectively, obtained.
- 出版日期2013-1
- 单位郑州大学
