On a Reduction of the Kadomtsev-Petviashvili
Hierarchy
佚名
【期刊名称】《清华大学学报（英文版）》 【年(卷),期】2006(011)001
【摘要】This paper analyzes the reduction of the well known Kadomtsev-Petviashvili hierarchy. The reduction yields a previously unknown dispersion counterpart of the dispersionless hierarchy which has a Lax function of the form p+u(x)(p-(φ))-1+v(x)(p-(φ))-2. This paper also describes the bihamiltonian structure of the reduced hierarchy using Dirac reduction and proves that the approximation for the reduced hierarchy up to the second order of the dispersion parameter coincides with the hierarchy of integrable systems constructed from a particular two-dimensional Frobenius manifold using the approach of Dubrovin and Zhang. 【总页数】6页(111-116)
【关键词】dispersionless Kadomtsev-Petviashvili hierarchy;constrained Kadomtsev-Petviashvili hierarchy;bigraded Toda hierarchy;deformations of the hydrodynamic type bihamiltonian structure 【作者】佚名
【作者单位】Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
【正文语种】中文 【中图分类】TN91 【相关文献】
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On a Reduction of the Kadomtsev-Petviashvili Hierarchy
