A steepest descent method for oscillatory RiemannHilbert problems
Authors:
P. Deift and X. Zhou
Journal:
Bull. Amer. Math. Soc. 26 (1992), 119123
MSC (2000):
Primary 35Q15; Secondary 35B40, 35Q53, 41A60
MathSciNet review:
1108902
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References 
Similar Articles 
Additional Information
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 R. Beals and R. Coifman, Scattering and inverse scattering for first order systems, Comm. Pure Appl. Math. 37 (1984), 3990. MR 728266 (85f:34020)
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 A. R. Its, Asymptotics of solutions of the nonlinear Schrödinger equation and isomonodromic deformations of systems of linear differential equations, Soviet Math. Dokl. 24 (1981), 452456.
 [IN]
 A. R. Its and V. Yu. Novokshenov, The isomonodromic deformation method in the theory of Painlevé equations, Lecture Notes in Math., vol. 1191, SpringerVerlag, Berlin and Heidelberg, 1986. MR 851569 (89b:34012)
 [M]
 S. V. Manakov, Nonlinear Fraunhofer diffraction, Zh. Èksper. Teoret. Fiz. 65 (1973), 13921398. (Russian); transl. in Soviet Phys.JETP, 38 (1974), 693696.
 [N]
 V. Yu. Novokshenov, Asymptotics as of the solution of the Cauchy problem for the nonlinear Schrödinger equation, Soviet Math. Dokl. 21 (1980), 529533.
 [ZM]
 V. E. Zakharov and S. V. Manakov, Asymptotic behavior of nonlinear wave systems integrated by the inverse method, Zh. Èksper. Teoret. Fiz. 71 (1976), 203215. (Russian); transl. in Sov. Phys.JETP 44 (1976), 106112. MR 0673411 (58:32546)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S027309791992002537
PII:
S 02730979(1992)002537
Article copyright:
© Copyright 1992
American Mathematical Society
