Abstract
We consider the deformations of Whitham systems including the “dispersion terms” and having the form of Dubrovin-Zhang deformations of Frobenius manifolds. The procedure is connected with the B. A. Dubrovin problem of deformations of Frobenius manifolds corresponding to the Whitham systems of integrable hierarchies. Under some nondegeneracy requirements we suggest a general scheme of the deformation of the hyperbolic Whitham systems using the initial nonlinear system. The general form of the deformed Whitham system coincides with the form of the “low-dispersion” asymptotic expansions used by B. A. Dubrovin and Y. Zhang in the theory of deformations of Frobenius manifolds.
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