The Integrability of New Two-Component KdV Equation

Details The Integrability of New Two-Component KdV Equation The Integrability of New Two-Component KdV Equation

2009-10-13

arxiv.org/abs/0910.2389v3

SIGMA 6 (2010), 018, 10 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.3842/SIGMA.2010.018

We consider the bi-Hamiltonian representation of the two-component coupled KdV equations discovered by Drinfel'd and Sokolov and rediscovered by Sakovich and Foursov. Connection of this equation with the supersymmetric Kadomtsev-Petviashvilli-Radul-Manin hierarchy is presented. For this new supersymmetric equation the Lax representation and odd Hamiltonian structure is given.

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