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Topsakal, M. and Taşcan, F. (2020) Exact Travelling Wave Solutions for Space-Time Fractional Klein-Gordon Equation and (2+1)-Dimensional Time-Fractional Zoomeron Equation via Auxiliary Equation Method. Applied Mathematics and Nonlinear Sciences, 5, 437-446.
https://doi.org/10.2478/amns.2020.1.00041

has been cited by the following article:

• TITLE: New Exact Traveling Wave Solutions of (2 + 1)-Dimensional Time-Fractional Zoomeron Equation

  AUTHORS: Zhiyun Zeng, Xiaohua Liu, Yin Zhu, Xue Huang

  KEYWORDS: Exact Traveling Wave Solutions, (2 + 1)-Dimensional Time-Fractional Zoomeron Equation, The New Mapping Approach, The New Extended Auxiliary Equation Approach

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.2, February 17, 2022

  ABSTRACT: In this paper, the new mapping approach and the new extended auxiliary equation approach were used to investigate the exact traveling wave solutions of (2 + 1)-dimensional time-fractional Zoomeron equation with the conformable fractional derivative. As a result, the singular soliton solutions, kink and anti-kink soliton solutions, periodic function soliton solutions, Jacobi elliptic function solutions and hyperbolic function solutions of (2 + 1)-dimensional time-fractional Zoomeron equation were obtained. Finally, the 3D and 2D graphs of some solutions were drawn by setting the suitable values of parameters with Maple, and analyze the dynamic behaviors of the solutions.