<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this work, Lie symmetry analysis is performed on a generalized fifth-order KdV equation. This equation describes many nonlinear problems with great physical interest in mathematical physics, nonlinear dynamics and plasma physics, among them it is a useful model for the description of wave phenomena in plasma and solid state and internal solitary waves in shallow waters. Group invariant solutions are obtained which allow us to transform the equation into ordinary differential equations. Furthermore, taking into account the conservation laws that the ordinary differential equation admits we reduce the order of the equations. Finally, we obtain some exact solutions.</p></abstract>

In this work, Lie symmetry analysis is performed on a generalized fifth-order KdV equation. This equation describes many nonlinear problems with great physical interest in mathematical physics, nonlinear dynamics and plasma physics, among them it is a useful model for the description of wave phenomena in plasma and solid state and internal solitary waves in shallow waters. Group invariant solutions are obtained which allow us to transform the equation into ordinary differential equations. Furthermore, taking into account the conservation laws that the ordinary differential equation admits we reduce the order of the equations. Finally, we obtain some exact solutions.

Symmetry Reductions for a Generalized Fifth Order KdV Equation

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Symmetry Reductions for a Generalized Fifth Order KdV Equation"}

In this work, Lie symmetry analysis is performed on a generalized fifth-order KdV equation. This equation describes many nonlinear problems with great physical...

Symmetry Reductions for a Generalized Fifth Order KdV Equation

Publié en ligne: 30 nov. 2017

Pages: 485 - 494

Reçu: 07 juin 2017

Accepté: 30 nov. 2017

DOI: https://doi.org/10.21042/AMNS.2017.2.00040

Mots clés
Generalized fifth-order KdV, Lie Symmetries, Optimal system, Exact solutions

© 2017 M.S. Bruzón, T.M. Garrido and R. de la Rosa, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Symmetry Reductions for a Generalized Fifth Order KdV Equation

Publié en ligne: 30 nov. 2017

Pages: 485 - 494

Reçu: 07 juin 2017

Accepté: 30 nov. 2017

DOI: https://doi.org/10.21042/AMNS.2017.2.00040

Mots clésGeneralized fifth-order KdV, Lie Symmetries, Optimal system, Exact solutions

© 2017 M.S. Bruzón, T.M. Garrido and R. de la Rosa, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Generalized fifth-order KdV, Lie Symmetries, Optimal system, Exact solutions