Cnoidal wave, snoidal wave, and soliton solutions of the D(m,n) equation

Ghodrat Ebadi, E. V. Krishnan, Stephen Johnson, Anjan Biswas*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


This paper studies the D(m,n) equation, which is the generalized version of the Drinfeld–Sokolov equation. The traveling wave hypothesis and exp-function method are applied to integrate this equation. The mapping method and the Weierstrass elliptic function method also display an additional set of solutions. The kink, soliton, shock waves, singular soliton solution, cnoidal and snoidal wave solutions are all obtained by these varieties of integration tools. [Figure not available: see fulltext.]

Original languageEnglish
Pages (from-to)19-31
Number of pages13
JournalArabian Journal of Mathematics
Issue number1
Publication statusPublished - Mar 1 2013

ASJC Scopus subject areas

  • Mathematics(all)


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