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Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations
- Source :
- Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 079 (2011)
- Publication Year :
- 2011
- Publisher :
- National Academy of Science of Ukraine, 2011.
-
Abstract
- In this paper we propose some linearizability tests of partial difference equations on a quad-graph given by one point, two points and generalized Hopf-Cole transformations. We apply the so obtained tests to a set of nontrivial examples.
- Subjects :
- Discrete mathematics
Pure mathematics
linearizability
Linearizability
Nonlinear Sciences - Exactly Solvable and Integrable Systems
lcsh:Mathematics
FOS: Physical sciences
Mathematical Physics (math-ph)
Partial difference equations
lcsh:QA1-939
Set (abstract data type)
Nonlinear system
point transformations
Hopf-Cole transformations
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Graph (abstract data type)
Point (geometry)
Geometry and Topology
Exactly Solvable and Integrable Systems (nlin.SI)
Analysis
Mathematical Physics
Mathematics
quad-graph equations
Subjects
Details
- Language :
- English
- ISSN :
- 18150659
- Volume :
- 7
- Database :
- OpenAIRE
- Journal :
- Symmetry, Integrability and Geometry: Methods and Applications
- Accession number :
- edsair.doi.dedup.....c01c163637b9264d4d672997b3bcf838