Exact solutions of the nonlinear Schrödinger equation in time-dependent parabolic density profiles

DOI10.1007/BF00398426zbMath0598.35107OpenAlexW1983150226MaRDI QIDQ1079745

M. Perrin, G. Burdet

Publication date: 1986

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00398426

zbMATH Keywords

soliton-like solutionscovariance propertiesparabolic density profilesSchrödinger formalism

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items (3)

A geometric insight into the Fokker-Planck equation ⋮ The quantum stability problem for some class of time-dependent Hamiltonians ⋮ Integrable heterogeneous nonlinear Schrödinger equations with dielectric loss: Lie–Bäcklund symmetries

Cites Work

• The optical group and its subgroups

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