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The present paper deals with the introduction of Backlund Transformations with split quaternions in Minkowski space. Firstly, we tersely summarized the basic concepts of split quaternion theory and Bishop Frames of non-null curves in Minkowski space. Then, for Backlund transformations defined with each case of non-null curves, we give relationships between Backlund transformations and split quaternions. It is also presented some special propositions for transformations constructed with split quaternions. At the end, results obtained with the mathematical model have been evaluated.

ON BÄCKLUND TRANSFORMATIONS WITH SPLIT QUATERNIONS