Painlevé analysis for new (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equations with constant and time-dependent coefficients
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 8 January 2020
Issue publication date: 20 August 2020
Abstract
Purpose
The purpose of this paper is to introduce two new (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equations, the first with constant coefficients and the other with time-dependent coefficients. The author obtains multiple soliton solutions and multiple complex soliton solutions for the two developed models.
Design/methodology/approach
The newly developed models with constant coefficients and with time-dependent coefficients have been handled by using the simplified Hirota’s method. The author also uses the complex Hirota’s criteria for deriving multiple complex soliton solutions.
Findings
The two developed BLMP models exhibit complete integrability for any constant coefficient and any analytic time-dependent coefficients by investigating the compatibility conditions for each developed model.
Research limitations/implications
The paper presents an efficient algorithm for handling integrable equations with constant and analytic time-dependent coefficients.
Practical implications
The paper presents two new integrable equations with a variety of coefficients. The author showed that integrable equations with constant and time-dependent coefficients give real and complex soliton solutions.
Social implications
The paper presents useful algorithms for finding and studying integrable equations with constant and time-dependent coefficients.
Originality/value
The paper presents an original work with a variety of useful findings.
Keywords
Citation
Wazwaz, A.-M. (2020), "Painlevé analysis for new (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equations with constant and time-dependent coefficients", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 9, pp. 4259-4266. https://doi.org/10.1108/HFF-10-2019-0760
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited