On the semi–classical limit for the focusing nonlinear Schrödinger equation: sensitivity to analytic properties of the initial data

DOI10.1098/rspa.2001.0862zbMath0997.35085OpenAlexW2079285459MaRDI QIDQ4545324

Simon R. Clarke, Peter D. Miller

Publication date: 15 August 2002

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2001.0862

zbMATH Keywords

numerical experimentssemiclassical limitfocusing nonlinear Schrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (5)

The Wentzel-Kramers-Brillouin approximation of semiclassical eigenvalues of the Zakharov–Shabat problem ⋮ The Gaussian semiclassical soliton ensemble and numerical methods for the focusing nonlinear Schrödinger equation ⋮ Elliptic finite-band potentials of a non-self-adjoint Dirac operator ⋮ Corner defects in almost planar interface propagation ⋮ A second look at the Gaussian semiclassical soliton ensemble for the focusing nonlinear Schrödinger equation

This page was built for publication: On the semi–classical limit for the focusing nonlinear Schrödinger equation: sensitivity to analytic properties of the initial data