The WTC and ARS Painlevé tests Original Research Article

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.