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

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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

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