The matrix nonlinear Schrödinger equation in dimension 2

DOI10.1006/JMAA.2001.7590zbMath0986.35105OpenAlexW2070327382WikidataQ61635689 ScholiaQ61635689MaRDI QIDQ5952274

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Publication date: 19 February 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://backend.orbit.dtu.dk/ws/files/143477711/1_s2.0_S0022247X01975900_main.pdf

zbMATH Keywords

Cauchy problemglobal existencematrix nonlinear Schrödinger equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Nonlinear Schrödinger equations and sharp interpolation estimates
• Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
• Nonlinear Schrödinger equations and simple Lie algebras
• Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Exponential sums and nonlinear Schrödinger equations
• Poisson Actions and Scattering Theory for Integrable Systems
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