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 equation obtained by exact reduction has the Painlevé property.

See also

Inverse Scattering Method

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

Referenced on Wolfram|Alpha

Ablowitz-Ramani-Segur Conjecture

Cite this as:

Weisstein, Eric W. "Ablowitz-Ramani-Segur Conjecture." From MathWorld--A Wolfram Web Resource.

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