Geometric study of Gardner equation
Analysis of PDEs
2017-09-21 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
In this paper, we apply the method of approximate transformation groups proposed by Baikov, Gaziziv and Ibragimov, to compute the first-order approximate symmetry for the Gardner equations with the small parameters. We compute the optimal system and analyze some invariant solutions of These types of equations. Particularly, general forms of approximately Galilean-invariant solutions have been computed.
Keywords
Cite
@article{arxiv.1212.3604,
title = {Geometric study of Gardner equation},
author = {Mehdi Nadjafikhah and Ardavan Mokhtary},
journal= {arXiv preprint arXiv:1212.3604},
year = {2017}
}