%0 Journal Article
%T Approximate symmetries and invariant solutions for the generalizations of the Burgers- Korteweg-de Vries mod
%J AUT Journal of Modeling and Simulation
%I Amirkabir University of Technology
%Z 2588-2953
%A Razzaghi, Hamid
%A Nadjafikhah, Mehdi
%A Alipour Fakhri, Yousef
%D 2019
%\ 12/01/2019
%V 51
%N 2
%P 249-254
%! Approximate symmetries and invariant solutions for the generalizations of the Burgers- Korteweg-de Vries mod
%K Perturbed model
%K Approximate symmetry
%K Approximate invariant solution
%K Waves in liquid with gas bubbles
%R 10.22060/miscj.2021.19554.5240
%X In this paper the generalizations of the Burgers-Korteweg-de Vries model with small parameter derived by Kudryshov et al[ N.A. Kudryashov, D.I. Sinelshchikov. Extended models of non-linear waves in liquid with gas bubbles, International Journal of Non-Linear Mechanics 63 (2014) 31-38] is studied. A comprehensive study on the approximate symmetry analysis of the waves models is presented. First, we obtain approximate symmetry for the equation. Subsequently, in a physical application, using the first-order approximate symmetries, corresponding approximate invariant solutions to the perturbed non-linear models are obtained.
%U https://miscj.aut.ac.ir/article_4266_bd07d680510e587b3bdc25e583dff599.pdf