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Exact Solutions to KdV6 Equation by Using a New Approach of the Projective Riccati Equation Method

Author

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  • Cesar A. Gómez S
  • Alvaro H. Salas
  • Bernardo Acevedo Frias

Abstract

We study a new integrable KdV6 equation from the point of view of its exact solutions by using an improved computational method. A new approach to the projective Riccati equations method is implemented and used to construct traveling wave solutions for a new integrable system, which is equivalent to KdV6 equation. Periodic and soliton solutions are formally derived. Finally, some conclusions are given.

Suggested Citation

  • Cesar A. Gómez S & Alvaro H. Salas & Bernardo Acevedo Frias, 2010. "Exact Solutions to KdV6 Equation by Using a New Approach of the Projective Riccati Equation Method," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-10, August.
    • Handle: RePEc:hin:jnlmpe:797084
    DOI: 10.1155/2010/797084
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