The Super W_3 Conformal Algebra and the Boussinesq Hierarchy

Details The Super W_3 Conformal Algebra and the Boussinesq Hierarchy The Super W_3 Conformal Algebra and the Boussinesq Hierarchy

1993-05-13

arxiv.org/abs/solv-int/9305001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages

Scientific paper

10.1142/S0217751X94000844

The bihamiltonian structure of the N=2 Supersymmetric Boussinesq equation is
found. It is not reduced to the corresponding classical structure and hence it
describes the pure supersymmetric effect. For the supersymmetric Boussinesq
equation which contains the classical partner the Lax pair is given
explicitely. Thus we prove the integrability of the equation.

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