Computational analysis of shallow water waves with Korteweg-de Vries equation

Document Type: Article

Authors

1 Department of Transportation Engineering, Yalova University, Yalova 77100, Turkey

2 Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria

3 Department of Mathematics, Central University of Haryana, Haryana 123029, India

4 Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

5 Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa

6 Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha-61413, Saudi Arabia

Abstract

The collocation nite element method is applied to obtain solitary wave solutions to Korteweg-de Vries
equation with power law nonlinearity. The stability and error analysises are also carried out for these waves.
Additionally, conservation laws are studied numerically.

Keywords

Main Subjects