New kinks and solitons solutions to the (2+1) -dimensional Konopelchenko-Dubrovsky equation

  • Authors:
  • Abdul-Majid Wazwaz

  • Affiliations:
  • Department of Mathematics and Computer Science, Saint Xavier University, 3700 West 103rd Street, Chicago, IL 60655, United States

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2007

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Abstract

In this work, the (2+1)-dimensional Konopelchenko-Dubrovsky (KD) equation is studied. The tanh-sech method, the cosh-sinh method and exponential functions method are efficiently employed to handle this equation. By means of these methods, the solitary wave, periodic wave and kink solutions are formally obtained.