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The Pavlov equation is one of the simplest integrable systems of vectorfields arising from various problems of mathematical physics and differentialgeometry which are intensively studied in recent literature. In this report,solving a nonlinear Riemann-Hilbert problem via a Newtonian iteration scheme,we complete the inverse scattering theory and prove a short time uniquesolvability of the Cauchy problem of the Pavlov equation with large initialdata.

The Cauchy problem for the Pavlov equation with large data