A numerical comparison of a Kawahara equation

Doǧan Kaya*, Kamel Al-Khaled

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


In this Letter we present an Adomian's decomposition Method (shortly ADM) and the Sinc-Galerkin Method (shortly SGM) for numerical approximation traveling wave solutions of the Kawahara equation. We obtain the exact traveling wave solutions of the Kawahara equation for the initial conditions by using ADM. Then ADM yields the analytic approximate solution with fast convergence rate and high accuracy through previous works. The numerical solutions are compared with the known analytical solutions.

Original languageEnglish
Pages (from-to)433-439
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number5-6
Publication statusPublished - Apr 9 2007
Externally publishedYes


  • Adomian decomposition method
  • Kawahara equation
  • Sinc-Galerkin method
  • Traveling wave solution

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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