Abstract: A split--step muhisympleetic scheme is proposed for a kind of fourth-order Schrödinger equations with eubie nonlinear term.Ihe basic idea is to combine muhisymplectic integrator with split-step method.The method not only preserves muhisymplectic structure of multisympleetie integrators,but also has the virtue of efficiency and flexibility of split-step method in computation.Numerical experiments show that the split-step muhisympleetic method is more economic in computational time and computer memory than traditional muhisymplectic integrator.

Key words: fourth-order NSL equation, muhisymplectic scheme, split-step method