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New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito Equations

Author

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  • A. H. Bhrawy
  • M. Sh. Alhuthali
  • M. A. Abdelkawy

Abstract

Using the extended F-expansion method based on computerized symbolic computation technique, we find several new solutions of (1+1)-dimensional and (2+1)-dimensional Ito equations. These solutions contain hyperbolic and triangular solutions. It is shown that the power of the extended F-expansion method is its ease of use to determine shock or solitary type of solutions. In addition, as an illustrative sample, the properties for the extended F-expansion solutions of the Ito equations are shown with some figures.

Suggested Citation

  • A. H. Bhrawy & M. Sh. Alhuthali & M. A. Abdelkawy, 2012. "New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito Equations," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-24, November.
    • Handle: RePEc:hin:jnlmpe:537930
    DOI: 10.1155/2012/537930
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