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Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-31
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A type of prolongation structure for several general systems is discussed.
They are based on a set of one forms for which the underlying structure group of the integrability condition corresponds to the Lie algebra of SL(2,ℝ), O(3), and SU(3).
Each will be considered in turn and the latter two systems represent larger 3×3 cases.
This geometric approach is applied to all of the three of these systems to obtain prolongation structures explicitly.
In both 3×3 cases, the prolongation structure is reduced to the situation of three smaller 2×2 problems.
American Psychological Association (APA)
Bracken, Paul. 2013. Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-476894
Modern Language Association (MLA)
Bracken, Paul. Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-476894
American Medical Association (AMA)
Bracken, Paul. Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-476894
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476894