ASYMPTOTIC EXPANSION OF SOLUTIONS TO THE NONLINEAR SCHRÖDINGER EQUATION WITH POWER NONLINEARITY

DOI10.2206/KYUSHUJM.63.51zbMATH Open1177.35226OpenAlexW2054986012MaRDI QIDQ5191202

Satoshi Masaki

Publication date: 29 July 2009

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

Full work available at URL: https://doi.org/10.2206/kyushujm.63.51

zbMATH Keywords

asymptotic expansionnonlinear Schrödinger equationasymptotic behavior of the solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Theoretical approximation in context of PDEs (35A35)

Related Items (4)

Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity ⋮ Asymptotic expansion of solutions of an elliptic equation related to the nonlinear Schrödinger equation ⋮ Asymptotic expansion of the solution to the nonlinear Schrödinger equation with nonlocal interaction ⋮ Asymptotic expansions with exponential, power, and logarithmic functions for non-autonomous nonlinear differential equations

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