Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations
Joint Authors
Sayed, A.
Seadawy, A. R.
Amer, W.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The Olver equation is governing a unidirectional model for describing long and small amplitude waves in shallow water waves.
The solitary wave solutions of the Olver and fifth-order KdV equations can be obtained by using extended tanh and sech-tanh methods.
The present results are describing the generation and evolution of such waves, their interactions, and their stability.
Moreover, the methods can be applied to a wide class of nonlinear evolution equations.
All solutions are exact and stable and have applications in physics.
American Psychological Association (APA)
Seadawy, A. R.& Amer, W.& Sayed, A.. 2014. Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-502302
Modern Language Association (MLA)
Seadawy, A. R.…[et al.]. Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-502302
American Medical Association (AMA)
Seadawy, A. R.& Amer, W.& Sayed, A.. Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-502302
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502302