Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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SOME EXPLICIT SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS

  • Kim, Hyunsoo (Department of Mathematics, Sungkyunkwan University) ;
  • Lee, Youho (Department of Internet Information, Daegu Haany University)
  • Received : 2016.04.08
  • Accepted : 2017.02.03
  • Published : 2017.03.25
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Abstract

In this paper, we construct exact traveling wave solutions of various kind of partial differential equations arising in mathematical science by the system technique. Further, the $Painlev{\acute{e}}$ test is employed to investigate the integrability of the considered equations. In particular, we describe the behaviors of the obtained solutions under certain constraints.

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References

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