Kumar, DevendraSingh, JagdevBaleanu, Dumitru2020-03-052020-03-052017Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru, "A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves", Mathematical Methods In The Applied Sciences, Vol.40, No.15, pp.5642-5653, (2017).0170-4214http://hdl.handle.net/20.500.12416/2598The key purpose of the present work is to constitute a numerical scheme based on q-homotopy analysis transform method to examine the fractional model of regularized long-wave equation. The regularized long-wave equation explains the shallow water waves and ion acoustic waves in plasma. The proposed technique is a mixture of q-homotopy analysis method, Laplace transform, and homotopy polynomials. The convergence analysis of the suggested scheme is verified. The scheme provides and n-curves, which show that the range convergence of series solution is not a local point effects and elucidate that it is superior to homotopy analysis method and other analytical approaches.eninfo:eu-repo/semantics/closedAccessFractional Regularized Long-Wave EquationNonlinear Dispersive WavesShallow Water WavesIon Acoustic Plasma WavesQ-Homotopy Analysis Transform MethodArticle40155642565310.1002/mma.4414