Ablowitz-Ramani-Segur Conjecture

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 Equationobtained by exact reduction has the Painlevé Property.

References

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

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