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math-ph2012★ 3 cited
A deformation of the method of characteristics and the Cauchy problem for Hamiltonian PDEs in the small dispersion limit
Davide Masoero, Andrea Raimondo
We introduce a deformation of the method of characteristics valid for Hamiltonian perturbations of a scalar conservation law in the small dispersion limit. Our method of analysis i…
math-ph2012★ 5 cited
Painleve I, Coverings of the Sphere and Belyi Functions
Davide Masoero
The theory of poles of solutions of Painleve-I is equivalent to the Nevanlinna problem of constructing a meromorphic function ramified over five points - counting multiplicities -…