Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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NEW EXACT TRAVELLING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS

  • Lee, Youho (Department of Internet Information, Daegu Hanny University) ;
  • An, Jaeyoung (Department of Mathematics, Sungkyunkyawn University) ;
  • Lee, Mihye (Department of Mathematics, Sungkyunkyawn University)
  • Received : 2011.04.14
  • Accepted : 2011.05.16
  • Published : 2011.06.30
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Abstract

In this work, we obtain new solitary wave solutions for some nonlinear partial differential equations. The Jacobi elliptic function rational expansion method is used to establish new solitary wave solutions for the combined KdV-mKdV and Klein-Gordon equations. The results reveal that Jacobi elliptic function rational expansion method is very effective and powerful tool for solving nonlinear evolution equations arising in mathematical physics.

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References

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