<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this work, we study a generalized Boussinesq equation from the point of view of the Lie theory. We determine all the low-order conservation laws by using the multiplier method. Taking into account the relationship between symmetries and conservation laws and applying the multiplier method to a reduced ordinary differential equation, we obtain directly a second order ordinary differential equation and two third order ordinary differential equations.</p></abstract>

In this work, we study a generalized Boussinesq equation from the point of view of the Lie theory. We determine all the low-order conservation laws by using the multiplier method. Taking into account the relationship between symmetries and conservation laws and applying the multiplier method to a reduced ordinary differential equation, we obtain directly a second order ordinary differential equation and two third order ordinary differential equations.

Conservation laws for a Boussinesq equation.

Applied Mathematics and Nonlinear Sciences

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

{"article-title":"Conservation laws for a Boussinesq equation."}

In this work, we study a generalized Boussinesq equation from the point of view of the Lie theory. We determine all the low-order conservation laws by using...

Conservation laws for a Boussinesq equation.

Publié en ligne: 12 nov. 2017

Pages: 465 - 472

Reçu: 08 mai 2017

Accepté: 12 nov. 2017

DOI: https://doi.org/10.21042/AMNS.2017.2.00037

Mots clés
Generalized Boussinesq equation, Conservation Laws, Potential Symmetries, Double reduction

© 2017 M.L. Gandarias, M.S. Bruzón, published by Sciendo

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

Conservation laws for a Boussinesq equation.

Publié en ligne: 12 nov. 2017

Pages: 465 - 472

Reçu: 08 mai 2017

Accepté: 12 nov. 2017

DOI: https://doi.org/10.21042/AMNS.2017.2.00037

Mots clésGeneralized Boussinesq equation, Conservation Laws, Potential Symmetries, Double reduction

© 2017 M.L. Gandarias, M.S. Bruzón, published by Sciendo

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

Mots clés
Generalized Boussinesq equation, Conservation Laws, Potential Symmetries, Double reduction