Reductions and exact solutions of nonlinear multidimensional Schrödinger equations

DOI10.1007/BF01016121zbMath0746.35041OpenAlexW1975409277MaRDI QIDQ1175811

W. I. Fushchich, Anatoliy F. Barannyk, Vladimir V. Marchenko

Publication date: 25 June 1992

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01016121

zbMATH Keywords

ordinary differential equationssymmetry propertiescanonical decompositionalgebraic methodsmaximal subalgebrasorthogonal algebraarbitrary subalgebraextended complete Galileo algebraextended isochronous Galileo algebrageneralized extended classical Galileo algebra

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (1)

Classification of maximal subalgebras of rank n of the conformal algebra AC(1, n)

Cites Work

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• Continuous subgroups of a generalized Euclidean group
• Galilei invariant nonlinear equations of Schrödinger type and their exact solutions. II
• Continuous subgroups of the generalized Schrödinger groups
• The Galilean relativistic principle and nonlinear partial differential equations

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