Similarity solutions and conservation laws for the Bogoyavlensky-Konopelchenko equation by Lie point symmetries

Amlan K. Haldera Department of Mathematics, Pondicherry University, Kalapet605014, IndiaCorrespondence[email protected]

P.G.L. Leachb Institute For Systems Science, Durban University of Technology, P.O. Box 1334, Durban4000;c School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, Republic of South Africa. E-Mail [email protected]

Andronikos Paliathanasisd Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile;e Institute For Systems Science, Durban University of Technology, P.O. Box 1334, Durban4000, Republic of South Africa. E-Mail [email protected]

Abstract

The 1 + 2 dimensional Bogoyavlensky-Konopelchenko equation is investigated for its solution and conservation laws using the Lie point symmetry analysis. In the recent past, certain work has been done describing the Lie point symmetries for the equation and this work seems to be incomplete (S.S. Ray, Computers & Mathematics with Applications 74(6) (2017), 1158–1165). We obtained certain new symmetries and corresponding conservation laws. The travelling-wave solution and some other similarity solutions are studied.

Mathematics Subject Classification (2010):

Key words:

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Similarity solutions and conservation laws for the Bogoyavlensky-Konopelchenko equation by Lie point symmetries

Information for

Open access

Opportunities

Help and information

Your download is now in progress and you may close this window

Login or register to access this feature

Similarity solutions and conservation laws for the Bogoyavlensky-Konopelchenko equation by Lie point symmetries

Abstract

Reprints and Corporate Permissions

Academic Permissions

Related research

To cite this article:

Download citation

Information for

Open access

Opportunities

Help and information

Keep up to date