Bright soliton solutions for time fractional Korteweg-de Vries equation

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Özkan E. M., Özkan A.

5th International Conference on Analysis and Applied Mathematics, ICAAM 2020, Mersin, Turkey, 23 - 30 September 2020, vol.2325 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2325
  • Doi Number: 10.1063/5.0040280
  • City: Mersin
  • Country: Turkey
  • Yıldız Technical University Affiliated: Yes

Abstract

© 2021 Author(s).In this work, He's semi-inverse variation method and the ansatz method with the modified Riemann-Liouville derivative are used to construct the exact solutions for time fractional Korteweg-de Vries (KdV) equation. The fractional KdV equation is transformed to another non-linear differential equation by travelling wave transformations and then these two methods are applied to find the solution.