A new super-extension of the KdV hierarchy

作者：Geng Xianguo; Wu Lihua

来源：Applied Mathematics Letters, 2010, 23(6): 716-721.

DOI：10.1016/j.aml.2010.02.014

• Super-KdV equation
• Generalized bi-Hamiltonian structures
• Conservation laws

A new super-extension of the KdV hierarchy is proposed, which is associated with a 3 x 3 matrix spectral problem. Using super-trace identity, generalized bi-Hamiltonian structures of this hierarchy are established. Moreover, infinite conservation laws of the new super-KdV equation are derived.

• 出版日期2010-6
• 单位郑州大学