Boris Dubrovin

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This article is concerned with a conjecture in [8] on the formation of dispersive shocks in a class of Hamiltonian dispersive regularizations of the quasilinear transport equation. The regularizations are characterized by two arbitrary functions of one variable, where the condition of integrability implies that one of these functions must not vanish. It is(More)
  • Guido Carlet, Boris Dubrovin, Youjin Zhang, Via Sissa, Beirut, Trieste +1 other
  • 2004
We present the Lax pair formalism for certain extension of the continuous limit of the classical Toda lattice hierarchy, provide a well defined notion of tau function for its solutions, and give an explicit formulation of the relationship between the CP 1 topological sigma model and the extended Toda hierarchy. We also establish an equivalence of the latter(More)
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