Published January 1, 2016
| Version v1
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Soliton solutions to KdV equation with spatio-temporal dispersion
- 1. Badji Mokhtar Univ, Fac Sci, Dept Phys, Radiat Phys Lab, POB 12, Annaba 23000, Algeria
- 2. Yalova Univ, Fac Engn, Dept Transportat Engn, TR-77100 Yalova, Turkey
- 3. Tshwane Univ Technol, Dept Math & Stat, ZA-0008 Pretoria, South Africa
Description
This paper discusses a soliton solution that is of a different structure than that is usually known. The equation with spatio-temporal dispersion is studied in this paper both analytically and numerically. The governing equations that are addressed in this paper are the Korteweg-de Vries (KdV) equation, modified KdV equation and finally KdV equation with power law nonlinearity. Numerically these three equations are all addressed with quintic B-spline collocation method and the stability analysis is carried out. (C) 2016 Elsevier Ltd. All rights reserved.
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