A new analytic solution of fractional coupled Ramani equation

Anas Arafa, Ahmed M.SH Hagag

Research output: Contribution to journalJournal articlepeer-review

13 Scopus citations

Abstract

A new analytic solution of fractional coupled Ramani equation (sixth-order coupled Ramani equation) is described. Q-homotopy analysis transform method (q-HATM) technique is proved to be a useful tool for generating the solution. The convergence of the q-HATM is controlled by auxiliary parameters ℏ and n. We compared the solutions with the exact solutions and some analytical methods to show the reliability of the method. The present method gives highly approximate results with a few iterations. The new results we have obtained may be meaningful in explaining some problems in Soliton theory.

Original languageEnglish
Pages (from-to)388-406
Number of pages19
JournalChinese Journal of Physics
Volume60
DOIs
StatePublished - Aug 2019
Externally publishedYes

Keywords

  • Coupled Ramani equation
  • Fractional calculus
  • Numerical results
  • Q-homotopy analysis transform method

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