Original paper

Indian Journal of Physics

, Volume 88, Issue 2, pp 177-184

Application of first integral method to fractional partial differential equations

  • M. EslamiAffiliated withDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran
  • , B. Fathi VajargahAffiliated withDepartment of Mathematics, Faculty of Mathematical Sciences, University of Guilan
  • , M. MirzazadehAffiliated withDepartment of Mathematics, Faculty of Mathematical Sciences, University of Guilan Email author 
  • , A. BiswasAffiliated withDepartment of Mathematical Sciences, Delaware State UniversityDepartment of Mathematics, Faculty of Science, King Abdulaziz University

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Abstract

In this paper, fractional derivatives in the sense of modified Riemann-Liouville derivative and first integral method are applied for constructing exact solutions of nonlinear fractional generalized reaction duffing model and nonlinear fractional diffusion reaction equation with quadratic and cubic nonlinearity. Our approach provides first integrals in polynomial form with a high accuracy for two-dimensional plane autonomous systems. Exact soliton solutions are constructed through established first integrals.

Keywords

First integral method Solitons Fractional generalized reaction duffing model

PACS Nos.

02.30.Jr 05.45.Yv