%0 Report
%D 2006
%T On Hamiltonian perturbations of hyperbolic systems of conservation laws, II: universality of critical behaviour
%A Boris Dubrovin
%X Hamiltonian perturbations of the simplest hyperbolic equation $u_t + a(u) u_x=0$ are studied. We argue that the behaviour of solutions to the perturbed equation near the point of gradient catastrophe of the unperturbed one should be essentially independent on the choice of generic perturbation neither on the choice of generic solution. Moreover, this behaviour is described by a special solution to an integrable fourth order ODE.
%B Comm. Math. Phys. 267 (2006) 117-139
%G en_US
%U http://hdl.handle.net/1963/1786
%1 2758
%2 Mathematics
%3 Mathematical Physics
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-03-30T13:22:52Z\\nNo. of bitstreams: 1\\n89FM-2005.pdf: 250067 bytes, checksum: 1e057f524c879ec57fa25833b141b6b6 (MD5)
%R 10.1007/s00220-006-0021-5