par Brenig, Léon
Référence Physics letters. A, 133, 7-8, page (378-382)
Publication Publié, 1988-11
Article révisé par les pairs
Résumé : It is shown that many systems of nonlinear differential equations of interest in various fields are naturally imbedded in a new family of differential equations. This family is invariant under nonlinear transformations based on the concept of matrix power of a vector. Each equation belonging to that family can be brought into a factorized canonical form for which integrable cases can be easily identified and solutions can be found by quadratures. © 1988.