Higher Order Folds in Nonlinear Problems with Several Parameters

Higher Order Folds in Nonlinear Problems with Several Parameters

Year:    1989

Author:    Zhong-Hua Yang

Journal of Computational Mathematics, Vol. 7 (1989), Iss. 3 : pp. 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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1989-JCM-9476

Journal of Computational Mathematics, Vol. 7 (1989), Iss. 3 : pp. 262–278

Published online:    1989-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:   

Author Details

Zhong-Hua Yang