On the reduction of the modified Benjamin-Ono equation to the cubic derivative nonlinear Schrödinger equation

DOI10.3934/dcds.2002.8.237zbMath0995.35064OpenAlexW2002327218MaRDI QIDQ1347797

Pavel I. Naumkin, Nakao Hayashi

Publication date: 17 October 2002

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2002.8.237

zbMATH Keywords

asymptotic behaviorCauchy problemreductionsmall solutionscubic nonlocal nonlinear Schrödinger equationdecay-rateexistence of modified scattering statesmodified Benjamin-Ono equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Sharp asymptotic behavior of solutions to Benjamin-Ono type equations -- short range case ⋮ On quadratic derivative Schrödinger equations in one space dimension

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