Semantic Scholar Open Access 2004 3 sitasi

Explicit differential characterization of PDE systems pointwise equivalent to Y_{X^{j_1}X^{j_2}}=0, 1\leq j_1,j_2\leq n\geq 2

J. Merker

Lihat Sumber

Abstrak

In this paper, a direct continuation of math.DG/0411165, we generalize S. Lie's linearization criterion of an ordinary second order differential equation to the case of several independent variables (x^1, x^2 ..., x^n), n >1, and a single dependent variable y. Strikingly, as in math.DG/0411165, the (complicated) characterizing differential system is of first order. By means of computer programming, this phenomenon was discovered in the case n=2 by S. Neut and M. Petitot (www.lifl.fr/~neut/recherche/these.pdf).

Topik & Kata Kunci

Mathematics

Penulis (1)

J. Merker

Format Sitasi

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Merker, J. (2004). Explicit differential characterization of PDE systems pointwise equivalent to Y_{X^{j_1}X^{j_2}}=0, 1\leq j_1,j_2\leq n\geq 2. https://www.semanticscholar.org/paper/ec8d40ceb954311ec39410a9079c53238442d3d3

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Informasi Jurnal

Tahun Terbit: 2004
Bahasa: en
Total Sitasi: 3×
Sumber Database: Semantic Scholar
Akses: Open Access ✓