About this article
Published Online: May 25, 2021
Page range: 335 - 346
Received: Jan 02, 2021
Accepted: Feb 26, 2021
DOI: https://doi.org/10.2478/amns.2021.2.00008
Keywords
© 2021 XiuQing Yu et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
By feat of Maple 17 and a subsidiary ordinary differential equation, a new extension algebraic method is chosen to construct the travelling wave solutions to the proximate equation set involving an arbitrary parameter for long waves over shallow-water. Multiple triangle periodic solutions and new Jacobi elliptic function solutions are obtained. This procedure is applicable to other nonlinear partial differential equations as well.