New numerical solutions of fractional-order Korteweg-de Vries equation

Inc M., Parto-Haghighi M., AKINLAR M. A., Chu Y.

RESULTS IN PHYSICS, vol.19, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19
  • Publication Date: 2020
  • Doi Number: 10.1016/j.rinp.2020.103326
  • Journal Name: RESULTS IN PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Yıldız Technical University Affiliated: Yes


We present new solutions of fractional-order Korteweg-de Vries (KdV) equation by employing a method that utilizes advantages of both techniques of fictititous time integration and group preserving. Proposed method converts the KdV to a new system of equations which is approximately solved by a semi-discretization numerical scheme. Caputo type fractional-order derivative operators are used. We apply the method to some specific cases of the KdV equation. Computational results indicate that the method gives new and highly efficient solutions of the KdV equation.