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Approximate symmetry and exact solutions of the singularly perturbed Boussinesq equation.

Authors :
Rahimian, Mohammad
Toomanian, Megerdich
Nadjafikhah, Mehdi
Source :
Communications in Nonlinear Science & Numerical Simulation. Dec2017, Vol. 53, p1-9. 9p.
Publication Year :
2017

Abstract

In this paper, the Lie approximate symmetry analysis is applied to investigate new exact solutions of the singularly perturbed Boussinesq equation. The tanh-function method, is employed to solve some of the obtained reduced ordinary differential equations.We construct new analytical solutions with small parameter which is effectively obtained by the proposed method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10075704
Volume :
53
Database :
Academic Search Index
Journal :
Communications in Nonlinear Science & Numerical Simulation
Publication Type :
Periodical
Accession number :
123409389
Full Text :
https://doi.org/10.1016/j.cnsns.2017.04.033