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Arabian Journal for Science and Engineering

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14-07-2021 | Research Article-Physics

Computational Solutions of Fractional (2 + 1)-Dimensional Ablowitz–Kaup–Newell–Segur Equation Using an Analytic Method and Application

Authors: Aniqa Zulfiqar, Jamshad Ahmad

Published in: Arabian Journal for Science and Engineering | Issue 1/2022

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Abstract

In this paper, an efficient \((G^{\prime}/G,\,1/G)\)-expansion method is adopted to resolve a famous (2 + 1)-dimensional fractional Ablowitz–Kaup–Newell–Segur (AKNS) water wave equation for the non-conservative system that plays a significant role in understanding the wave propagation. This work addresses the physical and dynamic behavior of some new exact trigonometric, hyperbolic, and rational solitary wave solutions in the form of 3D-plots and contour plots using different measures of parameters. The obtained results show the efficiency of the proposed method for the analytical treatment of nonlinear problems in mathematics, science and engineering and may be helpful in better understanding the propagating wave dynamics in diverse situations.

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Title: Computational Solutions of Fractional (2 + 1)-Dimensional Ablowitz–Kaup–Newell–Segur Equation Using an Analytic Method and Application
Authors: Aniqa Zulfiqar
Jamshad Ahmad
Publication date: 14-07-2021
Publisher: Springer Berlin Heidelberg
Published in: Arabian Journal for Science and Engineering / Issue 1/2022
Print ISSN: 2193-567X
Electronic ISSN: 2191-4281
DOI: https://doi.org/10.1007/s13369-021-05917-9

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