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Asymptotic Methods for Solitary Solutions and Compactons
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-130, 130 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-29
Country of Publication
Egypt
No. of Pages
130
Main Subjects
Abstract EN
This paper is an elementary introduction to some new asymptotic methods for the search for the solitary solutions of nonlinear differential equations, nonlinear differential-difference equations, and nonlinear fractional differential equations.
Particular attention is paid throughout the paper to giving an intuitive grasp for the variational approach, the Hamiltonian approach, the variational iteration method, the homotopy perturbation method, the parameter-expansion method, the Yang-Laplace transform, the Yang-Fourier transform, and ancient Chinese mathematics.
Hamilton principle and variational principles are also emphasized.
The reviewed asymptotic methods are easy to be followed for various applications.
Some ideas on this paper are first appeared.
American Psychological Association (APA)
He, Ji-Huan. 2012. Asymptotic Methods for Solitary Solutions and Compactons. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-130.
https://search.emarefa.net/detail/BIM-507888
Modern Language Association (MLA)
He, Ji-Huan. Asymptotic Methods for Solitary Solutions and Compactons. Abstract and Applied Analysis No. 2012 (2012), pp.1-130.
https://search.emarefa.net/detail/BIM-507888
American Medical Association (AMA)
He, Ji-Huan. Asymptotic Methods for Solitary Solutions and Compactons. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-130.
https://search.emarefa.net/detail/BIM-507888
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507888