Title of article
Approximate symmetries and invariant solutions for the generalizations of the Burgers-Korteweg-de Vries model
Author/Authors
Razzaghi ، H. Department of Mathematics - Payame Noor University , Nadjafikhah ، M. School of Mathematics - Iran University of Science and Technology , Alipour Fakhri ، Y. Department of Mathematics - Payame Noor University
From page
249
To page
254
Abstract
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.
Keywords
Perturbed model , Approximate symmetry , Approximate invariant solution , Waves in liquid with gas bubbles
Journal title
Amirkabir International Journal of Modeling,Identification,Simulation and Control
Journal title
Amirkabir International Journal of Modeling,Identification,Simulation and Control
Record number
2622030
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