Author(s)

Zhiyun Zeng, Xiaohua Liu, Yin Zhu, Xue Huang

College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, China.

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.

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

Zeng, Z. , Liu, X. , Zhu, Y. and Huang, X. (2022) New Exact Traveling Wave Solutions of (2 + 1)-Dimensional Time-Fractional Zoomeron Equation. Journal of Applied Mathematics and Physics, 10, 333-346. doi: 10.4236/jamp.2022.102026.