scientific article; zbMATH DE number 5041773

zbMath1100.35524arXivmath-ph/0310039MaRDI QIDQ5476904

Nataliya M. Ivanova, Roman O. Popovych, Homayoon Eshraghi

Publication date: 20 July 2006

Full work available at URL: https://arxiv.org/abs/math-ph/0310039

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zbMATH Keywords

Schrödinger equationequivalence transformationsgroup classificationLie symmetryLie invariance algebra

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Group classification of (1+1)-dimensional Schrödinger equations with potentials and power nonlinearities ⋮ Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations ⋮ Algebraic method for group classification of \((1+1)\)-dimensional linear Schrödinger equations ⋮ Lie symmetries and invariants for a 2D nonlinear heat equation ⋮ Group analysis of variable coefficient diffusion-convection equations. I: Enhanced group classification ⋮ Admissible transformations and normalized classes of nonlinear Schrödinger equations

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