The Ablowitz-Ramani-Segur conjecture states that a nonlinear Partial Differential Equation is solvable by the Inverse Scattering Method only if every nonlinear Ordinary Differential Equation obtained by exact reduction has the Painlevé Property.

**References**

Tabor, M. *Chaos and Integrability in Nonlinear Dynamics: An Introduction.* New York: Wiley,
p. 351, 1989.

© 1996-9

1999-05-25