|標題:||The hidden algebraic structure of the Kaup-Broer hierarchy|
Department of Applied Mathematics
|摘要:||In this paper, we investigate the conformal algebra associated with the coupled Kaup-Broer hierarchy which is obtained from the coupled AKNS hierarchy by gauge transformation. We find that the algebraic structure hidden behind the coupled Kaup-Broer hierarchy can be revealed after mapping the Lax operator of the coupled Kaup-Broer hierarchy to a Yajima-Oikawa-type Lax operator. Furthermore, we show that the second Hamiltonian structure of the coupled Kaup-Broer hierarchy can be simplified by factorizing the Lax operator in multiplicative form and thus obtain the free-field realization of the associated algebras.|
|期刊:||JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL|
|Appears in Collections:||Articles|
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