Group-invariant solutions of semilinear Schrödinger equations in multi-dimensions

DOI10.1063/1.4830316zbMath1380.35141arXiv1301.5529OpenAlexW3105503517MaRDI QIDQ5412801

Wei Feng, Stephen C. Anco

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1301.5529

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (6)

Conservation laws and symmetries of radial generalized nonlinear \(p\)-Laplacian evolution equations ⋮ On symmetry groups and conservation laws for space-time fractional inhomogeneous nonlinear diffusion equation ⋮ Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations ⋮ Symmetry analysis and group-invariant solutions to inhomogeneous nonlinear diffusion equation ⋮ Classical symmetries, travelling wave solutions and conservation laws of a generalized Fornberg-Whitham equation ⋮ Exact solutions of semilinear radial Schrödinger equations by separation of group foliation variables

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