<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Travelling wave solutions to the proximate equations for LWSW

School of Mathematics and Big Data Sciences

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Travelling wave solutions to the proximate equations for LWSW"}

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...

Travelling wave solutions to the proximate equations for LWSW

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
auxiliary equation, algebraic method, travelling wave solutions

© 2021 XiuQing Yu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Travelling wave solutions to the proximate equations for LWSW

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

Keywordsauxiliary equation, algebraic method, travelling wave solutions

© 2021 XiuQing Yu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
auxiliary equation, algebraic method, travelling wave solutions