New Exact and Explicit Traveling Wave Solutions for the CD and PKP Equations

نویسندگان

  • E. Yusufoğlu
  • A. Bekir
چکیده

In this paper, we establish exact solutions for nonlinear evolution equations. The homogeneous balance method is used to construct exact travelling wave solutions of the CalogeroDegasperis (CD) and Potential Kadomstev-Petviashvili (PKP) equations, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation. Many new families of exact travelling wave solutions of the Calogero and PKP equations are successfully obtained. The solutions obtained may be of significant importance for the explanation of some practical physical problems.

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تاریخ انتشار 2007