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A steepest descent method for oscillatory Riemann-Hilbert problems
Author(s):
P.
Deift;
X.
Zhou
Journal:
Bull. Amer. Math. Soc.
26
(1992),
119-123.
MSC (2000):
Primary 35Q15;
Secondary 35B40, 35Q53, 41A60
MathSciNet review:
1108902
Retrieve article in:
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References |
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Additional information
References:
-
- [AN]
- M. J. Ablowitz and A. C. Newell, The decay of the continuous spectrum for solutions of the Korteweg de Vries equation, J. Math. Phys. 14 (1973), 1277-1284. MR 0324237 (48:2589)
- [AS]
- M. J. Ablowitz and H. Segur, Asymptotic solutions of the Korteweg de Vries equation, Stud. Appl. Math. 57 (1977), 13-14. MR 0481656 (58:1757)
- [BC]
- R. Beals and R. Coifman, Scattering and inverse scattering for first order systems, Comm. Pure Appl. Math. 37 (1984), 39-90. MR 728266 (85f:34020)
- [B]
- V. S. Buslaev, Use of the determinant representation of solutions of the Korteweg de Vries equation for the investigation of their asymptotic behavior for large times, Uspekhi Mat. Nauk 34 (1981), 217-218.
- [BS1]
- V. S. Buslaev and V. V. Sukhanov, Asymptotic behavior of solutions of the Korteweg de Vries equation, Proc. Sci. Seminar LOMI 120 (1982), 32-50. (Russian); transl. in J. Soviet Math. 34 (1986), 1905-1920. MR 701550 (85f:35169)
- [BS2]
- -, On the asymptotic behavior as
of the solutions of the equation with potential u satisfying the Korteweg de Vries equation, I, Prob. Math. Phys. 10 (1982), 70-102. (Russian); transl. in Selecta Math. Soviet 4, (1985), 225-248; II, Proc. Sci. Seminar LOMI 138 (1984), 8-32. (Russian); transl. in J. Soviet Math. 32 (1986), 426-446; III, Prob. Math. Phys. (M. Birman, ed.) 11 (1986), 78-113. (Russian) MR 755906 (86a:35122) - [I]
- 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), 452-456.
- [IN]
- A. R. Its and V. Yu. Novokshenov, The isomonodromic deformation method in the theory of Painlevé equations, Lecture Notes in Math., vol. 1191, Springer-Verlag, Berlin and Heidelberg, 1986. MR 851569 (89b:34012)
- [M]
- S. V. Manakov, Nonlinear Fraunhofer diffraction, Zh. Èksper. Teoret. Fiz. 65 (1973), 1392-1398. (Russian); transl. in Soviet Phys.-JETP, 38 (1974), 693-696.
- [N]
- V. Yu. Novokshenov, Asymptotics as
of the solution of the Cauchy problem for the nonlinear Schrödinger equation, Soviet Math. Dokl. 21 (1980), 529-533. - [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), 203-215. (Russian); transl. in Sov. Phys.-JETP 44 (1976), 106-112. MR 0673411 (58:32546)
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00253-7
PII:
S 0273-0979(1992)00253-7
Copyright of article:
Copyright
1992,
American Mathematical Society
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