Application of first integral method to fractional partial differential equations

作者：Eslami M; Vajargah B Fathi; Mirzazadeh M^*; Biswas A

来源：Indian Journal of Physics and Proceedings of the Indian Association for the Cultivation of Science, 2014, 88(2): 177-184.

DOI：10.1007/s12648-013-0401-6

• First integral method
• Solitons
• Fractional generalized reaction duffing model

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.

• 出版日期2014-2