Initial-boundary value problems for the nonlinear Schrödinger equation

DOI10.1007/BF02551174zbMath0957.35119MaRDI QIDQ1586687

Beatrice Pelloni

Publication date: 23 November 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert problemnonlinear Schrödinger equationspectral methodmatrix \(\overline\partial\) problem

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

Cites Work

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• A unified transform method for solving linear and certain nonlinear PDEs
• The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation

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