@Article{JCM-7-3, author = {Zhong-Hua, Yang}, 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/1989-JCM-9476}, url = {https://global-sci.com/article/86109/higher-order-folds-in-nonlinear-problems-with-several-parameters} }