Almost periodicity for the nonlinear cubic Schrödinger equation

DOI10.1007/BF02762087zbMath0845.35115MaRDI QIDQ1905791

Laurent Amour

Publication date: 22 January 1996

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

almost periodic in timeperiodic solutions in space

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Explicit isospectral flows associated to the <scp>AKNS</scp> operator on the unit interval. II

Cites Work

• The periodic problem for the Korteweg-de Vries equation
• The spectrum of Hill's equation
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS
• Gaps of one dimensional periodic AKNS systems
• Periodic solutions of the KdV equation
• Almost Periodic Solutions of the KdV Equation
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
• Inverse spectral theory for the AKNS system with separated boundary conditions

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