A Class of Approximate Damped Oscillatory Solutions to Compound KdV-Burgers-Type Equation with Nonlinear Terms of Any Order: Preliminary Results
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-23
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This paper is focused on studying approximate damped oscillatory solutions of the compound KdV-Burgers-type equation with nonlinear terms of any order.
By the theory and method of planar dynamical systems, existence conditions and number of bounded traveling wave solutions including damped oscillatory solutions are obtained.
Utilizing the undetermined coefficients method, the approximate solutions of damped oscillatory solutions traveling to the left are presented.
Error estimates of these approximate solutions are given by the thought of homogeneous principle.
The results indicate that errors between implicit exact damped oscillatory solutions and approximate damped oscillatory solutions are infinitesimal decreasing in the exponential form.
American Psychological Association (APA)
Zhao, Yan& Zhang, Weiguo. 2014. A Class of Approximate Damped Oscillatory Solutions to Compound KdV-Burgers-Type Equation with Nonlinear Terms of Any Order: Preliminary Results. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-1039806
Modern Language Association (MLA)
Zhao, Yan& Zhang, Weiguo. A Class of Approximate Damped Oscillatory Solutions to Compound KdV-Burgers-Type Equation with Nonlinear Terms of Any Order: Preliminary Results. Journal of Applied Mathematics No. 2014 (2014), pp.1-19.
https://search.emarefa.net/detail/BIM-1039806
American Medical Association (AMA)
Zhao, Yan& Zhang, Weiguo. A Class of Approximate Damped Oscillatory Solutions to Compound KdV-Burgers-Type Equation with Nonlinear Terms of Any Order: Preliminary Results. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-1039806
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039806