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Rosenau-KdV Equation Coupling with the Rosenau-RLW Equation: Conservation Laws and Exact Solutions

  • Ben Muatjetjeja EMAIL logo and Abdullahi Rashid Adem
Published/Copyright: September 16, 2017

Abstract

We compute the conservation laws for the Rosenau-Kortweg de Vries equation coupling with the Regularized Long-Wave equation using Noether’s approach through a remarkable method of increasing the order of the Rosenau-KdV-RLW equation. Furthermore, exact solutions for the Rosenau- KdV-RLW equation are acquired by employing the Kudryashov method.

MSC 2010: 35Q51; 35Q53; 37K10; 78A60

Acknowledgements:

B. Muatjetjeja and A.R. Adem would like to thank the Material Science Innovation and Modelling (MaSIM), a Research Focus Area in the Faculty of Agriculture, Science and Technology, North-West University, Mafikeng Campus, South Africa, for its financial support.

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Received: 2015-11-13
Accepted: 2017-8-7
Published Online: 2017-9-16
Published in Print: 2017-10-26

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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