@Article{JCM-7-262, author = {Yang , Zhong-Hua}, title = {Higher Order Folds in Nonlinear Problems with Several Parameters}, journal = {Journal of Computational Mathematics}, year = {1989}, volume = {7}, number = {3}, pages = {262--278}, abstract = {

In this paper the results in [5] and [6] related to two-parameter nonlinear problems and computing the folds of degree 3 are generalized to any n-parameter nonlinear problems. Constructing a repeatedly extended system for an n-parameter nonlinear problem we prove that a fold of degree n+1 corresponds to a regular solution of its n-th extended system. Also, the equivalence between the n-th extended system and its reduced system is proved. Finally, some examples are computed.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9476.html} }