Solitary wave solutions for a time-fraction generalized Hirota–Satsuma coupled KdV equation by an analytical technique

• Published in: Applied mathematical modelling Vol. 33; no. 7; pp. 3107 - 3113
• Main Authors: Ganji, Z.Z., Ganji, D.D., Rostamiyan, Y.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Inc 01.07.2009; Elsevier
• Subjects: Caputo derivative; Exact sciences and technology; Fluid dynamics; Fractional generalized Hirota–Satsuma coupled KdV equations; Fundamental areas of phenomenology (including applications); General theory; Homotopy perturbation method; Physics; Fractional generalized Hirota–Satsuma coupled KdV equations; Caputo derivative; Homotopy perturbation method; Korteweg-de Vries equation; Solitary wave; coupled KdV equations; Fractional generalized Hirota-Satsuma; Homotopy; Perturbation techniques; Modelling; Non linear effect; Small parameter method; Fractional derivative

In this work, we implement a relatively analytical technique, the homotopy perturbation method (HPM), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo derivatives. This method can be used as an alternative to obtain analytic...