<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we study the modified equal-width equation, which is used in handling simulation of a single dimensional wave propagation in nonlinear media with dispersion processes. Lie point symmetries of this equation are computed and used to construct an optimal system of one-dimensional subalgebras. Thereafter using an optimal system of one-dimensional subalgebras, symmetry reductions and new group-invariant solutions are presented. The solutions obtained are cnoidal and snoidal waves. Furthermore, conservation laws for the modified equal-width equation are derived by employing two different methods, the multiplier method and Noether approach.</p></abstract>

In this paper we study the modified equal-width equation, which is used in handling simulation of a single dimensional wave propagation in nonlinear media with dispersion processes. Lie point symmetries of this equation are computed and used to construct an optimal system of one-dimensional subalgebras. Thereafter using an optimal system of one-dimensional subalgebras, symmetry reductions and new group-invariant solutions are presented. The solutions obtained are cnoidal and snoidal waves. Furthermore, conservation laws for the modified equal-width equation are derived by employing two different methods, the multiplier method and Noether approach.

On optimal system, exact solutions and conservation laws of the modified equal-width equation

Applied Mathematics and Nonlinear Sciences

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

In this paper we study the modified equal-width equation, which is used in handling simulation of a single dimensional wave propagation in nonlinear media with...

On optimal system, exact solutions and conservation laws of the modified equal-width equation

Published Online: Jul 23, 2018

Page range: 409 - 418

Received: Mar 05, 2018

Accepted: Jul 23, 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00031

Keywords
modified equal-width equation, Lie symmetries, optimal system of one-dimensional subalgebras, cnoidal and snoidal waves, conservation laws

© 2018 C. M. Khalique et al., published by Sciendo

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

On optimal system, exact solutions and conservation laws of the modified equal-width equation

Published Online: Jul 23, 2018

Page range: 409 - 418

Received: Mar 05, 2018

Accepted: Jul 23, 2018

DOI: https://doi.org/10.21042/AMNS.2018.2.00031

Keywordsmodified equal-width equation, Lie symmetries, optimal system of one-dimensional subalgebras, cnoidal and snoidal waves, conservation laws

© 2018 C. M. Khalique et al., published by Sciendo

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

Keywords
modified equal-width equation, Lie symmetries, optimal system of one-dimensional subalgebras, cnoidal and snoidal waves, conservation laws