Exact Traveling Wave Solutions for a Variable-coefficient Generalized Dispersive Water-wave System using the Generalized ( G ′ G )-expansion Method

@inproceedings{Zayed2013ExactTW,
  title={Exact Traveling Wave Solutions for a Variable-coefficient Generalized Dispersive Water-wave System using the Generalized ( G ′ G )-expansion Method},
  author={Elsayed M. E. Zayed},
  year={2013}
}
In this paper, a variable coefficient generalized dispersive water-w ave system which can model the propagation of the long weakly nonlinear and weakly dispersive surface waves of variab le depth in shallow water is presented. With the aid of symbolic computation and using the generalized (G ′ G )-expansion method, the exact traveling wave solutions of this system are o btained. It is shown that the proposed method provides a more general powerful m athe atical tool for finding the exact… CONTINUE READING

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