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Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions

Abdul-Majid Wazwaz (Department of Mathematics, Saint Xavier University, Chicago, Illinois, USA)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 26 January 2022

Issue publication date: 20 July 2022

165

Abstract

Purpose

This study aims to introduce a variety of integrable Boussinesq equations with distinct dimensions.

Design/methodology/approach

The author formally uses the simplified Hirota’s method and lump schemes for exploring lump solutions, which are rationally localized in all directions in space.

Findings

The author confirms the lump solutions for every model illustrated by some graphical representations.

Research limitations/implications

The author examines the features of the obtained lumps solutions.

Practical implications

The author presents a variety of lump solutions via using a variety of numerical values of the included parameters.

Social implications

This study formally furnishes useful algorithms for using symbolic computation with Maple for the determination of lump solutions.

Originality/value

This paper introduces an original work with newly useful findings of lump solutions.

Keywords

Acknowledgements

Compliance with ethical standards.

Conflict of interest: The author declares that he has no conflict of interest.

Citation

Wazwaz, A.-M. (2022), "Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 32 No. 9, pp. 3072-3082. https://doi.org/10.1108/HFF-12-2021-0786

Publisher

:

Emerald Publishing Limited

Copyright © 2022, Emerald Publishing Limited

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