• Mathematics
  • Published 2008

The Homotopy Analysis Method for the Exact Solutions of the K(2,2), Burgers and Coupled Burgers Equations

@inproceedings{Alomari2008TheHA,
  title={The Homotopy Analysis Method for the Exact Solutions of the K(2,2), Burgers and Coupled Burgers Equations},
  author={A. K. Alomari and Mohd Salmi Md Noorani and Roslinda Nazar},
  year={2008}
}
By means of the homotopy analysis method (HAM), the solutions of the K (2,2), Burgers and coupled Burgers equations are exactly obtained in this paper. This analytical method is also employed to solve the simple homogeneous advection equation to obtain the exact solution. HAM is a powerful and easy-to-use analytic tool for nonlinear problems, and thus the present study highlights the efficiency of the method. Comparison of HAM with the variational iteration method (VIM) is made, showing that… CONTINUE READING

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