Conservation laws and self-consistent sources for a super integrable equation hierarchy |
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| Authors: | Yun-Hu Wang Yong Chen |
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| Institution: | 1. Software Engineering Institute of East China, Normal University, Shanghai Key Laboratory of Trustworthy Computing, Shanghai 200062, PR China;2. Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, PR China |
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| Abstract: | In this paper, a super integrable equation hierarchy is considered based on a Lie superalgebra and supertrace identity. Then, a super integrable equation hierarchy with self-consistent sources is established. Furthermore, we introduce two variables F and G to construct conservation laws of the super integrable equation hierarchy and the first two conserved densities and fluxes are listed. It would be specially mentioned that the Fermi variables play an important role in super integrable systems which is different from the ordinary integrable systems. |
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