Determinant Form of the Complex Phase Function of the Steepest Descent Analysis of Riemann-Hilbert Problems and Its Application to the Focusing Nonlinear Schrodinger Equation

DOI10.1093/imrn/rnp011zbMath1175.30039OpenAlexW1971293966MaRDI QIDQ3638215

Stephanos Venakides, Alexander Tovbis

Publication date: 2 July 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnp011

zbMATH Keywords

nonlinear Schrödinger equationmodulation equationmatrix Riemann-Hilbert boundary value problemhyperelliptic Riemann surfacescalar Riemann-Hilbert boundary value problem

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Compact Riemann surfaces and uniformization (30F10) NLS equations (nonlinear Schrödinger equations) (35Q55) Boundary value problems in the complex plane (30E25)

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