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Volume 7, Issue 3
Higher Order Folds in Nonlinear Problems with Several Parameters

Zhong-Hua Yang

J. Comp. Math., 7 (1989), pp. 262-278.

Published online: 1989-07

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  • 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.

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@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} }
TY - JOUR T1 - Higher Order Folds in Nonlinear Problems with Several Parameters AU - Yang , Zhong-Hua JO - Journal of Computational Mathematics VL - 3 SP - 262 EP - 278 PY - 1989 DA - 1989/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9476.html KW - AB -

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.

Yang , Zhong-Hua. (1989). Higher Order Folds in Nonlinear Problems with Several Parameters. Journal of Computational Mathematics. 7 (3). 262-278. doi:
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