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

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.

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