Systems with this property are written as a bilinear system of constant coefficient equations for the tau function in a method created by Ryogo Hirota. Fomenko–Zieschang invariants classify systems with this property. Systems with this property admit operators L and P such that the time derivative of L is the commutator of L and P. Lax pairs are used when solving systems with this nonphysical property using the inverse scattering transform. Systems with this property remain quasiperiodic under weak perturbation in the usual statement of the KAM theorem. Trajectories in systems with the Liouville form of this property follow invariant tori (“TOR-eye”). Systems with this property, like the KdV equation, have infinitely many conserved quantities. For 10 points, name this property that dynamical systems have if they can be solved using antiderivatives. ■END■
ANSWER: integrable [or integral; accept completely integrable or completely integral; accept Liouville integrable or Liouville integral; accept integrability in place of “integrable”]
<Physics>
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