Family of conservative one-stepschemes of the sixth order of accuracy for Zakharov-Shabat system is constructed . The exponential integrator is a special case . Schemes based onrational approximation allow the use of fast algorithms to solve the initialproblem for a large number of values of the spectral parameter .

Author(s) : Sergey Medvedev, Igor Chekhovskoy, Irina Vaseva, Mikhail Fedoruk

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Keywords : fast - sixth - order - based - zakharov -

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