Integration of PDEs by differential geometric means.
In: Journal of Physics A: Mathematical & Theoretical, Jg. 46 (2013-03-15), Heft 10, S. 1-20
academicJournal
Zugriff:
We use Vessiot theory and exterior calculus to solve partial differential equations (PDEs) of the type uyy = F(x, y, u, ux, uy, uxx, uxy) and associated evolution equations. These equations are represented by the Vessiot distribution of vector fields.We develop and apply an algorithm to find the largest integrable sub-distributions and hence solutions of the PDEs.We then apply the integrating factor technique Sherring and Prince (1992 Trans. Am. Math. Soc. 433 453) to integrate this integrable Vessiot sub-distribution. The method is successfully applied to a large class of linear and nonlinear PDEs. [ABSTRACT FROM AUTHOR]
Titel: |
Integration of PDEs by differential geometric means.
|
---|---|
Autor/in / Beteiligte Person: | Tehseen, Naghmana ; Prince, Geoff |
Zeitschrift: | Journal of Physics A: Mathematical & Theoretical, Jg. 46 (2013-03-15), Heft 10, S. 1-20 |
Veröffentlichung: | 2013 |
Medientyp: | academicJournal |
ISSN: | 1751-8113 (print) |
DOI: | 10.1088/1751-8113/46/10/105201 |
Schlagwort: |
|
Sonstiges: |
|