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Zbl 1245.37011
Wang, Hui; Xia, Tie-Cheng
Conservation laws for a super G-J hierarchy with self-consistent sources. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 566-572 (2012). ISSN 1007-5704

Summary: Based on a well known super Lie algebra, a super integrable system is presented. Then, the super G-J hierarchy with self-consistent sources are obtained. Furthermore, we establish the infinitely many conservation laws for the integrable super G-J hierarchy. The methods derived by us can be generalized to other nonlinear equations hierarchies with self-consistent sources.
MSC 2000:
*37K10 Completely integrable systems etc.

Keywords: conservation law; self-consistent sources; super G-J hierarchy; Fermi quantity

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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