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.
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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Articles in the same Issue
- Frontmatter
- Rosenau-KdV Equation Coupling with the Rosenau-RLW Equation: Conservation Laws and Exact Solutions
- Stability Analysis of HIV/AIDS Transmission with Treatment and Role of Female Sex Workers
- Numerical Study of the Discharged Heat Water Effect on the Aquatic Environment from Thermal Power Plant by using Two Water Discharged Pipes
- An Efficient Wavelet-Based Collocation Method for Handling Singularly Perturbed Boundary-Value Problems in Fluid Mechanics
- Improved Results on State Estimation for Uncertain Takagi-Sugeno Fuzzy Stochastic Neural Networks with Time-Varying Delays
- Numerical Simulation of Heat Distribution with Temperature-Dependent Thermal Conductivity in a Two-Dimensional Liquid Flow
- Experimental Synchronization of Two Van der Pol Oscillators with Nonlinear and Delayed Unidirectional Coupling
- Real-Time Swing-up and Stabilization Control of a Cart-Pendulum System with Constrained Cart Movement
- Effect of the Nonlinear Parameters on the Propagation in Bi-isotropic Media