On well-posedness of the third-order nonlinear Schrödinger equation with time-dependent coefficients

DOI10.1142/S021919971450031XzbMath1321.35181OpenAlexW2040473936MaRDI QIDQ5264561

Marcia Scialom, Mahendra Panthee, Xavier Carvajal

Publication date: 27 July 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021919971450031x

zbMATH Keywords

initial value problemSchrödinger equationdispersion managementlocal and global well-posedness

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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