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Symmetry operators for Riemann’s method.
- Source :
-
Journal of Mathematical Physics . Aug2004, Vol. 45 Issue 8, p2993-3000. 8p. - Publication Year :
- 2004
-
Abstract
- Riemann’s method is one of the definitive ways of solving Cauchy’s problem for a second order linear hyperbolic partial differential equation in 2 variables. Chaundy’s equation, with 4 parameters, is the most general self-adjoint equation for which the Riemann function is known. Here we show that Chaundy’s equation possesses a two-dimensional vector space of second-order symmetry operators. Hence a new equivalence class of Riemann functions, admitting no first-order symmetries and obtainable only via a higher order symmetry, is found. A new 5 parameter Riemann function is then subsequently derived. © 2004 American Institute of Physics. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIAL equations
*OPERATOR theory
*PHYSICS
*MATHEMATICS
*MATHEMATICAL physics
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 45
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 13833826
- Full Text :
- https://doi.org/10.1063/1.1763003