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Topological Field Theory Approach to the Generalized Benney Hierarchy
並列摘要
The integrability of the generalized Benney hierarchy with three primary fields is investigated from the point of view of two-dimensional topological field theories coupled to gravity. The associated primary free energy and correlation functions at genus zero are obtained via the Landau-Ginzburg formulation, and the string equation is derived using the Riemann-Hilbert problem for the Orlov operators. By adopting the approach of Dubrovin and Zhang we obtain the genus-one corrections of the Poisson brackets of the generalized Benney hierarchy.
並列關鍵字
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