Partially invariant solutions of a class of nonlinear Schrodinger equations

DOI10.1088/0305-4470/25/16/018zbMath0764.35097OpenAlexW2055013750MaRDI QIDQ4033576

Pavel Winternitz, Giulio Soliani, Luigi Martina

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/16/018

zbMATH Keywords

symmetric groupnonlinear Laplace equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (8)

Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations ⋮ Transposed Poisson structures on solvable and perfect Lie algebras ⋮ The reducibility of partially invariant solutions of systems of partial differential equations ⋮ A differential constraints approach to partial invariance ⋮ Gauge equivalence among quantum nonlinear many body systems ⋮ Solutions of (2+1)-dimensional spin systems ⋮ Evolution equations invariant under two-dimensional space–time Schrödinger group ⋮ Nonclassical symmetry reductions of the Boussinesq equation

This page was built for publication: Partially invariant solutions of a class of nonlinear Schrodinger equations