Some aspects of the gradient-holomic algorithm in the theory of integration of nonlinear dynamic systems and the problems of computer algebra

• Date: 1991
• Main Authors: Mitropolsky , Yu. O., Prikarpatsky , A. K., Fil , В. M., Митропольський , Ю. О., Прикарпатський , А. К., Філь , Б. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 1991
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9309
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Some aspects are considered of a gradient holonomic algorithm in the theory of integrability of nonlinear dynamic systems. The gradient holonomic method yields recursion operators that explicitly contain a space variable and a time variable. An algorithm is presented that makes it possible to integr...