一个新的可积广义超孤子族及其自相容源、守恒律

Abstract

Abstract:

Based on a Lie super algebra B(0, 1), a new generalized super soliton hierarchy is obtained. By making use of the super trace identity, the resulting super soliton hierarchy can be put into a super bi-Hamiltonian form. Then, the self-consistent sources of the generalized super soliton hierarchy is established. Furthermore, we present the infinitely many conservation laws for the integrable super soliton hierarchy.

Key words: Super trace identity, Super Hamiltonian structures, Self-consistent sources, Conservation laws

CLC Number:

O175.29

Hanyu Wei,Tiecheng Xia,Beibei Hu,Yan Zhang. A New Integrable Generalization of Super Soliton Hierarchy and Its Self-Consistent Sources and Conservation Laws[J].Acta mathematica scientia,Series A, 2020, 40(1): 187-199.

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A New Integrable Generalization of Super Soliton Hierarchy and Its Self-Consistent Sources and Conservation Laws

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