Abstract
We find a full system of invariants with respect to gauge transformations L →g − 1 L g for third-order hyperbolic linear partial differential operators on the plane. The operators are considered in a normalized form, in which they have the symbol Sym L = (pX + qY)XY for some non-zero bivariate functions p and q. For this normalized form, explicit formulae are given. The paper generalizes a previous result for the special, but important, case p = q = 1.
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Shemyakova, E., Winkler, F. (2007). A Full System of Invariants for Third-Order Linear Partial Differential Operators in General Form. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2007. Lecture Notes in Computer Science, vol 4770. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75187-8_28
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DOI: https://doi.org/10.1007/978-3-540-75187-8_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75186-1
Online ISBN: 978-3-540-75187-8
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