Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-08-09
Chin.J.Phys. 42 (2004) 249-272
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, Revtex
Scientific paper
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 Landau-Ginzburg formulation and the string equation is derived using the twistor construction 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.
Chang Jen-Hsu
Tu Ming-Hsien
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