The Nonlinear Analysis of Perturbation Solution for a Parabolic Differential System
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-06
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
By investigation of perturbation solution for nonlinear reaction-diffusion system, we derive related differential model for perturbations that involves weak nonlinearities up to third order.
For a first time, this model is shown to result in derivation of the system for amplitude distribution by means of nonlinear integration on orthogonal basis in spatial region.
The obtained time-dependent system (TDS) contains all possible functional relations between the modes of wave train under consideration along with delayed relations, and after numerical simulation it provides some conclusions concerning the natural frequency of the investigated self-organization process in active medium.
The related matrix and modulo operations which substantiate the derivation of the TDS are also considered.
American Psychological Association (APA)
Dailyudenko, Victor F.. 2012. The Nonlinear Analysis of Perturbation Solution for a Parabolic Differential System. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-484502
Modern Language Association (MLA)
Dailyudenko, Victor F.. The Nonlinear Analysis of Perturbation Solution for a Parabolic Differential System. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-484502
American Medical Association (AMA)
Dailyudenko, Victor F.. The Nonlinear Analysis of Perturbation Solution for a Parabolic Differential System. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-484502
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484502