Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch)

Xijun Deng, E.J. Parkes, Jinlong Cao

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An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact travelling-wave solutions are obtained. Also, new stationary-wave solutions are obtained.
Original languageEnglish
Pages (from-to)1566-1576
Number of pages11
JournalApplied Mathematics and Computation
Issue number4
Publication statusPublished - 2010


  • auxiliary elliptic equation method
  • solitary-wave solutions
  • periodic-wave solutions
  • K(2
  • 2) equation

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