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The WTC and ARS Painlevé tests

✍ Scribed by R. Schmitz

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
285 KB
Volume
10
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 satisfies the WTC test also satisfies the ARS test.

📜 SIMILAR VOLUMES

Painlevé test of the McKean and Carleman
Painlevé test of the McKean and Carleman models
✍ W. -H. Steeb; N. Euler 📂 Article 📅 1987 🏛 Springer 🌐 English ⚖ 267 KB

The Painlev6 test of the system of nonlinear partial differential first-order equations U t + U x = kl t~2 + k2 u2 + k3uv , 1) t -1) x = -kll~ 2 -k2 u2 -k3uo is performed. The system includes the Carleman and McKean models which are caricatures of the Boltzmann equation. For k~ = k2 = 0 the system d