SEMICLASSICAL LIMIT OF THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION

DOI10.1142/S0218202500000161zbMath1012.81016OpenAlexW1983770382MaRDI QIDQ4798792

Taicheng Tso, Chi-Kun Lin, Benoît Desjardins

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202500000161

zbMATH Keywords

strict hyperbolicityinitial data with Sobolev regularity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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Cites Work

• The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence
• Scattering of solitons in the derivative nonlinear Schrödinger model
• Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
• The hyperbolic nature of the zero dispersion Kdv limit
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Compressible and incompressible fluids
• An exact solution for a derivative nonlinear Schrödinger equation
• Semiclassical limit of the nonlinear Schrödinger equation in small time
• On the nonlinear Schrodinger equations of derivative type

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