Derivation of lump solutions to a variety of Boussinesq equations with distinct dimensions
Abdul‐Majid Wazwaz
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.