A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves

作者：Kumar, Devendra^*; Singh, Jagdev; Baleanu, Dumitru

来源：Mathematical Methods in the Applied Sciences, 2017, 40(15): 5642-5653.

DOI：10.1002/mma.4414

• fractional regularized long-wave equation
• nonlinear dispersive waves
• shallow water waves
• ion acoustic plasma waves
• q-homotopy analysis transform method

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 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.

• 出版日期2017-10