TY - RPRT
T1 - On Hamiltonian perturbations of hyperbolic systems of conservation laws, II: universality of critical behaviour
Y1 - 2006
A1 - Boris Dubrovin
AB - 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.
JF - Comm. Math. Phys. 267 (2006) 117-139
UR - http://hdl.handle.net/1963/1786
U1 - 2758
U2 - Mathematics
U3 - Mathematical Physics
ER -