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Article
Publication date: 28 March 2023

Abdul-Majid Wazwaz, Haifa A. Alyousef and Samir El-Tantawy

This study aims to propose an extended (3 + 1)-dimensional integrable Kadomtsev–Petviashvili equation characterized by adding three new linear terms.

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Abstract

Purpose

This study aims to propose an extended (3 + 1)-dimensional integrable Kadomtsev–Petviashvili equation characterized by adding three new linear terms.

Design/methodology/approach

This study formally uses Painlevé test to confirm the integrability of the new system.

Findings

The Painlevé analysis shows that the compatibility condition for integrability does not die away by adding three new linear terms with distinct coefficients.

Research limitations/implications

This study uses the Hirota's bilinear method to explore multiple soliton solutions where phase shifts and phase variable are explored.

Practical implications

This study also furnishes a class of lump solutions (LSs), which are rationally localized in all directions in space, using distinct values of the parameters via using the positive quadratic function method.

Social implications

This study also shows the power of the simplified Hirota’s method in handling integrable equations.

Originality/value

This paper introduces an original work with newly developed Painlevé integrable model and shows new useful findings.

Details

International Journal of Numerical Methods for Heat & Fluid Flow, vol. 33 no. 7
Type: Research Article
ISSN: 0961-5539

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