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Solitary wave solutions for a time-fraction generalized Hirota-Satsuma coupled KdV equation by a new analytical technique. (English) Zbl 1206.35248

Summary: A new iterative technique is employed to solve a system of nonlinear fractional partial differential equations. This new approach requires neither Lagrange multiplier like variational iteration method (VIM) nor polynomials like Adomian’s decomposition method (ADM) so that can be more easily and effectively established for solving nonlinear fractional differential equations, and will overcome the limitations of these methods. The obtained numerical results show good agreement with those of analytical solutions. The fractional derivatives are described in Caputo sense.

MSC:

35R11 Fractional partial differential equations
26A33 Fractional derivatives and integrals
35C08 Soliton solutions
35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
35A35 Theoretical approximation in context of PDEs
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References:

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