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Application of Symbolic Computation in Nonlinear Differential-Difference Equations
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A method is proposed to construct closed-form solutions of nonlinear differential-difference equations.
For the variety of nonlinearities, this method only deals with such equations which are written in polynomials in function and its derivative.
Some closed-form solutions of Hybrid lattice, Discrete mKdV lattice, and modified Volterra lattice are obtained by using the proposed method.
The travelling wave solutions of nonlinear differential-difference equations in polynomial in function tanh are included in these solutions.
This implies that the proposed method is more powerful than the one introduced by Baldwin et al.
The results obtained in this paper show the validity of the proposal.
American Psychological Association (APA)
2009. Application of Symbolic Computation in Nonlinear Differential-Difference Equations. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-450452
Modern Language Association (MLA)
Application of Symbolic Computation in Nonlinear Differential-Difference Equations. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-8.
https://search.emarefa.net/detail/BIM-450452
American Medical Association (AMA)
Application of Symbolic Computation in Nonlinear Differential-Difference Equations. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-8.
https://search.emarefa.net/detail/BIM-450452
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450452