A Steepest Descent Method for Oscillatory Riemann-hilbert Problems
نویسندگان
چکیده
but it will be clear immediately to the reader with some experience in the field, that the method extends naturally and easily to the general class of wave equations solvable by the inverse scattering method, such as the KdV, nonlinear Schrödinger (NLS), and Boussinesq equations, etc., and also to "integrable" ordinary differential equations such as the Painlevé transcendents. As described, for example, in [IN] or [BC], the inverse scattering method for the MKdV equation leads to a Riemann-Hilbert factorization problem for a 2x2 matrix valued function m = m(; x, t) analytic in C\R,
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