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On dispersionless Lax representations for two-primary models

Ming-Hsien Tu

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The equivalence between bi-Hamiltonian formulation and Lax representation of dispersionless integrable hierarchies associated with two-primary models of Frobenius manifolds is explicitly verified.


PACS

02.40.-k Geometry, differential geometry, and topology

02.30.Ik Integrable systems

MSC

53D45 Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (See also 14N35)

37K10 Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)

Subjects

Mathematical physics

Dates

Issue 31 (3 August 2007)

Received 14 May 2007

Published 19 July 2007



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