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

Xijun Deng, E.J. Parkes, Jinlong Cao

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

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.
LanguageEnglish
Pages1566-1576
Number of pages11
JournalApplied Mathematics and Computation
Volume217
Issue number4
DOIs
Publication statusPublished - 2010

Fingerprint

Periodic Wave Solution
Solitary Wave Solution
Branch
Periodic Travelling Wave Solution
Auxiliary equation
Traveling Wave Solutions
Elliptic Equations

Keywords

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

Cite this

Deng, Xijun ; Parkes, E.J. ; Cao, Jinlong. / Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch). In: Applied Mathematics and Computation. 2010 ; Vol. 217, No. 4. pp. 1566-1576.
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Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch). / Deng, Xijun; Parkes, E.J.; Cao, Jinlong.

In: Applied Mathematics and Computation, Vol. 217, No. 4, 2010, p. 1566-1576.

Research output: Contribution to journalArticle

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