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A direct bilinearization scheme based on the use of partition polynomials

par Lambert, Franklin;Loris, Ignace ;Springael, Johan;Willox, R.
Editeur scientifique Makhankov, A. R.;Bishop, ;Holm,
Référence Nonlinear evolution equation and dynamical systems (NEEDS) 1994(Los Alamos NL), Proceedings of the NEEDS'94 workshop, World Scientific, Singapore, page (102-111)
Publication Publié, 1995

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Résumé :

A systematic procedure for the bilinerization of classes of soliton equations (and related ordinary differential equations) is presented. The method, based on the use of generalized Bell polynomials, is illustrated with several examples.