On the A1(1) reduction of the two-component KP hierarchy

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1990-03-12

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Jaulent, Marcel
Manna, Miguel A.
Martinez Alonso, Luis
Medina Reus, Elena

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The reduction of the two-component KP hierarchy with respect to the affine Lie algebra A1(1) is found to be equivalent to the hierarchy of integrable systems associated with an energy-dependent Schrödinger operator. The classical Boussinesq system turns out to be the reduction of a recently introduced (2 + 1)-dimensional integrable model. © 1990.

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Physics Letters A, v. 144, n. 6-7, p. 329-332, 1990.