On the use of the Lie group technique for differential equations with a small parameter: Approximate solutions and integrable equations

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    3 Scopus citations

    Abstract

    A new approach to the use of the Lie group technique for partial and ordinary differential equations dependent on a small parameter is developed. In addition to determining approximate solutions to the perturbed equation, the approach allows constructing integrable equations that have solutions with (partially) prescribed features. Examples of application of the approach to partial differential equations are given.

    Original languageEnglish
    Pages (from-to)990-995
    Number of pages6
    JournalPhysics of Atomic Nuclei
    Volume65
    Issue number6
    DOIs
    StatePublished - 1 Jun 2002

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics
    • Nuclear and High Energy Physics

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