• 제목/요약/키워드: $Painlev{\acute{e}}$ test

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SOME EXPLICIT SOLUTIONS OF NONLINEAR EVOLUTION EQUATIONS

  • Kim, Hyunsoo;Lee, Youho
    • 호남수학학술지
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    • 제39권1호
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    • pp.27-40
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    • 2017
  • 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.