Published June 2002
| Version v1
Journal article
On the use of the Lie group technique for differential equations with a small parameter: Approximate solutions and integrable equations
Creators
- 1. Ben-Gurion University, Jacob Blaustein Institute for Desert Research, Sede-Boker Campus 84990 (Israel)
Description
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
Additional details
Identifiers
- DOI
- 10.1134/1.1490097;
Publishing Information
- Journal Title
- Physics of Atomic Nuclei
- Journal Volume
- 65
- Journal Issue
- 6
- Journal Page Range
- p. 990-995
- ISSN
- 1063-7788
- CODEN
- PANUEO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35079370
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Translation
- Descriptors DEI
- DIFFERENTIAL EQUATIONS; INTEGRAL CALCULUS; LIE GROUPS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; SYMMETRY GROUPS
Optional Information
- Notes
- Translated from Yadernaya Fizika, ISSN 0044-0027, 65, 1024-1030 (No. 6, 2002); (c) 2002 MAIK ''Nauka / Interperiodica''.