Symmetry reductions of a generalized, cylindrical nonlinear Schrodinger equation

DOI10.1088/0305-4470/26/1/015zbMath0772.35065OpenAlexW2017708447MaRDI QIDQ4694794

Peter A. Clarkson, Simon Hood

Publication date: 16 June 1993

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/26/1/015

zbMATH Keywords

direct methodPainlevé analysisenvelope soliton propagation in optical fibres

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (5)

New symmetry reductions and exact solutions of the Davey–Stewartson system. I. Reductions to ordinary differential equations ⋮ Soliton perturbation theory for the modified nonlinear Schrödinger equation ⋮ Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations ⋮ Nonclassical symmetry reductions of the Boussinesq equation ⋮ Nonclassical symmetry reductions of nonlinear partial differential equations

This page was built for publication: Symmetry reductions of a generalized, cylindrical nonlinear Schrodinger equation