A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves. (3rd May 2017)

• Record Type: Journal Article
• Authors: Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 15(2017)
• Page Start: 5642
• Page End: 5653
• Publication Date: 2017-05-03
• Subjects: fractional regularized long‐wave equation -- nonlinear dispersive waves -- shallow water waves -- ion acoustic plasma waves -- q‐homotopy analysis transform method; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4414
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The 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 ℏ 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. Copyright © 2017 John Wiley & Sons, Ltd.