Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A steepest descent method for oscillatory Riemann-Hilbert problems
HTML articles powered by AMS MathViewer

by P. Deift and X. Zhou PDF
Bull. Amer. Math. Soc. 26 (1992), 119-123 Request permission
References
  • Mark J. Ablowitz and Alan C. Newell, The decay of the continuous spectrum for solutions of the Korteweg-de Vries equation, J. Mathematical Phys. 14 (1973), 1277–1284. MR 324237, DOI 10.1063/1.1666479
  • M. J. Ablowitz and H. Segur, Asymptotic solutions of the Korteweg-deVries equation, Studies in Appl. Math. 57 (1976/77), no. 1, 13–44. MR 481656, DOI 10.1002/sapm197757113
  • R. Beals and R. R. Coifman, Scattering and inverse scattering for first order systems, Comm. Pure Appl. Math. 37 (1984), no. 1, 39–90. MR 728266, DOI 10.1002/cpa.3160370105
    • 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.
  • V. S. Buslaev and V. V. Sukhanov, Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 120 (1982), 32–50 (Russian, with English summary). Questions in quantum field theory and statistical physics, 3. MR 701550
  • V. S. Buslaev and V. V. Sukhanov, Asymptotic behavior as $t\rightarrow \infty$ of the solutions of the equation $\psi _{xx}+u(x,\,t)\psi +(\lambda /4)\psi =0$ with a potential $u$ satisfying the Korteweg-de Vries equation. II, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 138 (1984), 8–32 (Russian, with English summary). Boundary value problems of mathematical physics and related problems in the theory of functions, 16. MR 755906
    • 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.
  • Alexander R. Its and Victor Yu. Novokshenov, The isomonodromic deformation method in the theory of Painlevé equations, Lecture Notes in Mathematics, vol. 1191, Springer-Verlag, Berlin, 1986. MR 851569, DOI 10.1007/BFb0076661
    • S. V. Manakov, Nonlinear Fraunhofer diffraction, Zh. Èksper. Teoret. Fiz. 65 (1973), 1392-1398. (Russian); transl. in Soviet Phys.-JETP, 38 (1974), 693-696. V. Yu. Novokshenov, Asymptotics as $t \to \infty$ of the solution of the Cauchy problem for the nonlinear Schrödinger equation, Soviet Math. Dokl. 21 (1980), 529-533.
  • V. E. Zakharov and S. V. Manakov, Asymptotic behavior of non-linear wave systems integrated by the inverse scattering method, Z. Èksper. Teoret. Fiz. 71 (1976), no. 1, 203–215 (Russian, with English summary); English transl., Soviet Physics JETP 44 (1976), no. 1, 106–112. MR 0673411, DOI 10.1252/kakoronbunshu1953.38.693
Similar Articles
Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 26 (1992), 119-123
  • MSC (2000): Primary 35Q15; Secondary 35B40, 35Q53, 41A60
  • DOI: https://doi.org/10.1090/S0273-0979-1992-00253-7
  • MathSciNet review: 1108902