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Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type
Barannikov, Serguei
HAL, hal-00012908 / Harvested from HAL
Text on HAL
We introduce integrable KdV type hierarchy associated naturally with arbitrary semi-simple Frobenius manifold. We present hierarchy in a Lax form and show that it admits bihamiltonian description.
Publié le : 2002-07-05
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG],  [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00012908,
     author = {Barannikov, Serguei},
     title = {Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00012908}
}

Barannikov, Serguei. Semi-infinite variations of Hodge structures and integrable hierarchies of KdV type. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00012908/