<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

Pubblicato online: 25 mag 2021

Pagine: 335 - 346

Ricevuto: 02 gen 2021

Accettato: 26 feb 2021

DOI: https://doi.org/10.2478/amns.2021.2.00008

Parole chiave
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

Pubblicato online: 25 mag 2021

Pagine: 335 - 346

Ricevuto: 02 gen 2021

Accettato: 26 feb 2021

DOI: https://doi.org/10.2478/amns.2021.2.00008

Parole chiaveauxiliary 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.

Parole chiave
auxiliary equation, algebraic method, travelling wave solutions