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A new (1+1)-dimensional integrable system, i. e. the super coupledKorteweg-de Vries (cKdV) system, has been constructed by a super extension ofthe well-known (1+1)-dimensional cKdV system. For this new system, a novelsymmetry constraint between the potential and eigenfunction can be obtained bymeans of the binary nonlinearization of its Lax pairs. The constraints for evenvariables are explicit and the constraints for odd variables are implicit.Under the symmetry constraint, the spacial part and the temporal parts of theequations associated with the Lax pairs for the super cKdV system can bedecomposed into the super finite-dimensional integrable Hamiltonian systems onthe supersymmetry manifold $R^{4N|2N+2}$, whose integrals of motion areexplicitly given.

A Novel Symmetry Constraint Of The Super cKdV System