Journal
INDIAN JOURNAL OF PHYSICS
Volume 88, Issue 2, Pages 177-184Publisher
INDIAN ASSOC CULTIVATION SCIENCE
DOI: 10.1007/s12648-013-0401-6
Keywords
First integral method; Solitons; Fractional generalized reaction duffing model
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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.
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