Abstract
The purpose of this Chapter is to show that the preceding new techniques allow us to treat nonlinear systems of arbitrary order in exactly the same manner as we have treated linear systems, by using the vertical machinery. The main, central, result in this Chapter is a difficult theorem with no classical counterpart and having no classical proof in principle. The development of this Chapter is along the lines that have to be followed in any explicit example. The Janet example and many others will be treated in full detail at the end of this Chapter. For this reason we do not give examples in the theoretical part.
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© 1994 Springer Science+Business Media Dordrecht
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Pommaret, JF. (1994). Nonlinear Systems. In: Partial Differential Equations and Group Theory. Mathematics and Its Applications, vol 293. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2539-2_4
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DOI: https://doi.org/10.1007/978-94-017-2539-2_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4432-7
Online ISBN: 978-94-017-2539-2
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