A Reliable Study of New Nonlinear Equation: Two-Mode Kuramoto–Sivashinsky

H. M. Jaradat, Marwan Alquran, Muhammed I. Syam

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)


In this letter, we use the sense made by Korsunsky (Phys Lett A 185:174–176, 1994) to establish a new nonlinear equation called the two-mode Kuramoto–Sivashinsky (TMKS). A finite series in terms of the Tanh function is proposed to be a candidate solution to this new model. Also, we study possible solutions of TMKS by means of the modified simplified bilinear method where a new Cole-Hopf transformation is considered. The new model describes the propagation of two different wave modes simultaneously.

Original languageEnglish
Article number64
JournalInternational Journal of Applied and Computational Mathematics
Issue number2
Publication statusPublished - Apr 1 2018


  • Simplified Bilinear method
  • Solitons
  • Tanh-Expansion method
  • Two-mode Kuramoto–Sivashinsky

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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