1212.3604 (Mehdi Nadjafikhah et al.)

Approximate Symmetry Analysis of Gardner Equation    [PDF]

Mehdi Nadjafikhah, Ardavan Mokhtary

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.

View original: http://arxiv.org/abs/1212.3604