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Invertible point transformations, Painlevé test, and the second Painlevé transcendent

✍ Scribed by N. Euler; W. -H. Steeb; L. G. S. Duarte; I. C. Moreira


Publisher
Springer
Year
1991
Tongue
English
Weight
186 KB
Volume
30
Category
Article
ISSN
0020-7748

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The WTC and ARS Painlevé tests
✍ R. Schmitz 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 285 KB

The WTC and ARS tests are important tools in identifying nonlinear PDEs which are linearizable by the method of the inverse-scattering-transform. In this paper we give an exact formulation of these tests, and it is shown that the WTC test is "stronger" than the ARS test, i.e., every PDE which satisf