Abstract
The application of formal power series to the problem of constructing invariants for one parameter Lie-Bäcklund transformation groups [1] is discussed. Previously reported results [1] as well as an extension of these results are presented. Our method of constructing these differential invariants is built upon the fact that the only existing theory for these groups is framed in the space [[A]] of formal power series with coefficients in the space A of differential functions [2]. This theory and these spaces are discussed for completeness.
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References
Anderson, R. L. and Ibragimov, N. H., Invariants of Lie-Bäcklund transformation groups generated by formal power series, Lie Groups and Their Applications I, pp. 1–25 (1994).
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Anderson, R. L. and Ibragimov N.H., Lie Bäcklund symmetries: Representation by formal power series, in: CCR Handbook of Differential Equations, Vol. 1 (1994), Vol. 2–3 (to appear), Ibragimov N.H., Ed., CRC Press, Boca Raton, 1995.
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© 1995 Springer Science+Business Media Dordrecht
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Anderson, R.L., Ibragimov, N.H. (1995). The Problem of Invariants for Lie-Bäcklund Groups. In: Bertrand, J., Flato, M., Gazeau, JP., Irac-Astaud, M., Sternheimer, D. (eds) Modern Group Theoretical Methods in Physics. Mathematical Physics Studies, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8543-9_1
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DOI: https://doi.org/10.1007/978-94-015-8543-9_1
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