A variety of completely integrable Calogero–Bogoyavlenskii–Schiff equations with time-dependent coefficients
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 28 April 2020
Issue publication date: 12 January 2021
Abstract
Purpose
The purpose of this paper is to introduce a variety of new completely integrable Calogero–Bogoyavlenskii–Schiff (CBS) equations with time-dependent coefficients. The author obtains multiple soliton solutions and multiple complex soliton solutions for each of the developed models.
Design/methodology/approach
The newly developed models with time-dependent coefficients have been handled by using the simplified Hirota’s method. Moreover, multiple complex soliton solutions are derived by using complex Hirota’s criteria.
Findings
The developed models exhibit complete integrability, for specific determined functions, by investigating the compatibility conditions for each model.
Research limitations/implications
The paper presents an efficient algorithm for handling integrable equations with analytic time-dependent coefficients.
Practical implications
The work presents new integrable equations with a variety of time-dependent coefficients. The author showed that integrable equations with time-dependent coefficients give real and complex soliton solutions.
Social implications
This study presents useful algorithms for finding and studying integrable equations with time-dependent coefficients.
Originality/value
The paper gives new integrable CBS equations which appear in propagation of waves and provide a variety of multiple real and complex soliton solutions.
Keywords
Citation
Wazwaz, A.-M. (2021), "A variety of completely integrable Calogero–Bogoyavlenskii–Schiff equations with time-dependent coefficients", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 1, pp. 174-185. https://doi.org/10.1108/HFF-01-2020-0015
Publisher
:Emerald Publishing Limited
Copyright © 2020, Emerald Publishing Limited