超 Broer-Kaup-Kupershmidt 族的非线性可积耦合及其哈密尔顿结构

Abstract

Abstract:

Base on a kind of new Lie superalgebras, we present the nonlinear integrable couplings of the super Broer-Kaup-Kupershmidt hierarchy, which can be reduces to nonlinear integrable couplings of the classical Broer-Kaup-Kupershmidt hierarchy. Super trace identity over the corresponding loop superalgebras is used to obtain the super Hamiltonian structures for the nonlinear integrable couplings of the super Broer-Kaup-Kupershmidt hierarchy. This method can be generalized to other super soliton hierarchy.

Key words: Lie superalgebras, Super trace identity, Super Broer-Kaup-Kupershmidt hierarchy, Nonlinear integrable couplings

CLC Number:

35Q51

WEI Han-Yu, JIA Tie-Cheng, YUE Chao. Nonlinear Integrable Couplings of Super Broer-Kaup-Kupershmidt Hierarchy and Its Hamiltonian Structures[J].Acta mathematica scientia,Series A, 2013, 33(4): 686-695.

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Nonlinear Integrable Couplings of Super Broer-Kaup-Kupershmidt Hierarchy and Its Hamiltonian Structures

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