Published June 11, 2015 | Version v1
Journal article

Equivalence groupoid of generalized potential Burgers equations

  • 1. Institute of Mathematics of NAS of Ukraine, 3 Tereshchenkivska Str., 01601 Kyiv (Ukraine)

Description

We find the equivalence groupoid of a class of (1 + 1)-dimensional second-order evolution equations, which are called generalized potential Burgers equations. This class is related via potentialization with two classes of variable-coefficient generalized Burgers equations. Its equivalence groupoid is of complicated structure and is described via partitioning the entire class into three normalized subclasses such that there are no point transformations between equations from different subclasses. For each of these subclasses we construct its equivalence group of an appropriate kind. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/621/1/012011

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
621
Journal Issue
1
Journal Page Range
[10 p.]
ISSN
1742-6596

Conference

Title
7. international workshop on group analysis of differential equations and integrable systems
Acronym
GADEISVII
Dates
15-19 Jun 2014
Place
Larnaca (Cyprus)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
47099273
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
MATHEMATICAL EVOLUTION; ONE-DIMENSIONAL CALCULATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; TRANSFORMATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; EVOLUTION