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Group classification of nonlinear Schr\"odinger equations

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arxiv math-ph/0301009 v1 pith:WCCUQGPV submitted 2003-01-09 math-ph hep-thmath.APmath.MPnlin.SIquant-ph

Anatoly G. Nikitin , Roman O. Popovych This is my paper · ORCID
classification math-phhep-thmath.APmath.MPnlin.SIquant-ph
keywords classificationgroupequationsnonlinearodingerschrappliedauthors
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abstract

The authors suggest a new powerful tool for solving group classification problems, that is applied to obtaining the complete group classification in the class of nonlinear Schr\"odinger equations of the form $i\psi_t+\Delta\psi+F(\psi,\psi^*)=0$.

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  1. Equivalence groupoid of a class of general Burgers-Korteweg-de Vries equations with space-dependent coefficients

    math-ph 2019-08 conditional novelty 5.0 of 10

    The equivalence groupoid of reduced general Burgers-Korteweg-de Vries equations with space-dependent coefficients is generated by a four-dimensional usual equivalence group together with the equivalence groups of expl...

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